272415052 has 48 divisors (see below), whose sum is σ = 588116032. Its totient is φ = 107516160.

The previous prime is 272415037. The next prime is 272415097. The reversal of 272415052 is 250514272.

272415052 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 272415052.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266302 + ... + 267322.

Almost surely, 2^272415052 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 272415052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294058016).

272415052 is an abundant number, since it is smaller than the sum of its proper divisors (315700980).

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

272415052 is a wasteful number, since it uses less digits than its factorization.

272415052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 28.

The square root of 272415052 is about 16505.0008179339. Note that the first 3 decimals coincide. The cubic root of 272415052 is about 648.2517533958.

The spelling of 272415052 in words is "two hundred seventy-two million, four hundred fifteen thousand, fifty-two".