272865408 has 128 divisors (see below), whose sum is σ = 760104000. Its totient is φ = 86618112.

The previous prime is 272865391. The next prime is 272865413. The reversal of 272865408 is 804568272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 272865408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191438 + ... + 1191666.

Almost surely, 2^272865408 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 272865408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380052000).

272865408 is an abundant number, since it is smaller than the sum of its proper divisors (487238592).

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

272865408 is a wasteful number, since it uses less digits than its factorization.

272865408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 272865408 is about 16518.6382005297. The cubic root of 272865408 is about 648.6087862050.

The spelling of 272865408 in words is "two hundred seventy-two million, eight hundred sixty-five thousand, four hundred eight".