272365632 has 448 divisors, whose sum is σ = 1053388800. Its totient is φ = 66908160.

The previous prime is 272365631. The next prime is 272365633. The reversal of 272365632 is 236563272.

It is a happy number.

272365632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (272365631) and next prime (272365633).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

Its product of digits (90720) is a multiple of the sum of its prime divisors (135).

It is not an unprimeable number, because it can be changed into a prime (272365631) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3060244 + ... + 3060332.

Almost surely, 2^272365632 is an apocalyptic number.

272365632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526694400).

272365632 is an abundant number, since it is smaller than the sum of its proper divisors (781023168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

272365632 is a wasteful number, since it uses less digits than its factorization.

272365632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 135 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 272365632 is about 16503.5036280179. The cubic root of 272365632 is about 648.2125503012.

It can be divided in two parts, 27 and 2365632, that multiplied together give a square (63872064 = 7992²).

The spelling of 272365632 in words is "two hundred seventy-two million, three hundred sixty-five thousand, six hundred thirty-two".