272372256 has 144 divisors (see below), whose sum is σ = 870682176. Its totient is φ = 80137728.

The previous prime is 272372237. The next prime is 272372257. The reversal of 272372256 is 652273272.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 272372256.

It is not an unprimeable number, because it can be changed into a prime (272372257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84531 + ... + 87693.

It is an arithmetic number, because the mean of its divisors is an integer number (6046404).

Almost surely, 2^272372256 is an apocalyptic number.

272372256 is a gapful number since it is divisible by the number (26) 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 272372256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435341088).

272372256 is an abundant number, since it is smaller than the sum of its proper divisors (598309920).

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

272372256 is a wasteful number, since it uses less digits than its factorization.

272372256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3215 (or 3204 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 272372256 is about 16503.7043114569. The cubic root of 272372256 is about 648.2178051555.

The spelling of 272372256 in words is "two hundred seventy-two million, three hundred seventy-two thousand, two hundred fifty-six".