272922048 has 336 divisors, whose sum is σ = 976335360. Its totient is φ = 73903104.

The previous prime is 272922043. The next prime is 272922053. The reversal of 272922048 is 840229272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272922043) and next prime (272922053).

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272922043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503818 + ... + 2503926.

It is an arithmetic number, because the mean of its divisors is an integer number (2905760).

Almost surely, 2^272922048 is an apocalyptic number.

272922048 is a gapful number since it is divisible by the number (28) 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 272922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488167680).

272922048 is an abundant number, since it is smaller than the sum of its proper divisors (703413312).

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

272922048 is a wasteful number, since it uses less digits than its factorization.

272922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272922048 is about 16520.3525386113. The cubic root of 272922048 is about 648.6536613937.

The spelling of 272922048 in words is "two hundred seventy-two million, nine hundred twenty-two thousand, forty-eight".