272374272 has 320 divisors, whose sum is σ = 913334400. Its totient is φ = 79626240.

The previous prime is 272374243. The next prime is 272374301. The reversal of 272374272 is 272473272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (272374243) and next prime (272374301).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4465122 + ... + 4465182.

It is an arithmetic number, because the mean of its divisors is an integer number (2854170).

Almost surely, 2^272374272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272374272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456667200).

272374272 is an abundant number, since it is smaller than the sum of its proper divisors (640960128).

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

272374272 is a wasteful number, since it uses less digits than its factorization.

272374272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 102 counting only the distinct ones).

The product of its digits is 65856, while the sum is 36.

The square root of 272374272 is about 16503.7653885409. The cubic root of 272374272 is about 648.2194044421.

It can be divided in two parts, 272 and 374272, that added together give a square (374544 = 612²).

The spelling of 272374272 in words is "two hundred seventy-two million, three hundred seventy-four thousand, two hundred seventy-two".