272800872 has 80 divisors (see below), whose sum is σ = 768333060. Its totient is φ = 90429696.

The previous prime is 272800849. The next prime is 272800877. The reversal of 272800872 is 278008272.

It can be written as a sum of positive squares in 2 ways, for example, as 272448036 + 352836 = 16506^2 + 594^2 .

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

It is not an unprimeable number, because it can be changed into a prime (272800877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 126588 + ... + 128724.

Almost surely, 2^272800872 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 272800872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384166530).

272800872 is an abundant number, since it is smaller than the sum of its proper divisors (495532188).

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

272800872 is a wasteful number, since it uses less digits than its factorization.

272800872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 272800872 is about 16516.6846552206. The cubic root of 272800872 is about 648.5576475412.

The spelling of 272800872 in words is "two hundred seventy-two million, eight hundred thousand, eight hundred seventy-two".