56735272 has 32 divisors (see below), whose sum is σ = 117532800. Its totient is φ = 25459200.

The previous prime is 56735269. The next prime is 56735279. The reversal of 56735272 is 27253765.

It is not an unprimeable number, because it can be changed into a prime (56735279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2872 + ... + 11032.

It is an arithmetic number, because the mean of its divisors is an integer number (3672900).

Almost surely, 2^56735272 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 56735272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58766400).

56735272 is an abundant number, since it is smaller than the sum of its proper divisors (60797528).

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

56735272 is a wasteful number, since it uses less digits than its factorization.

56735272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8257 (or 8253 counting only the distinct ones).

The product of its digits is 88200, while the sum is 37.

The square root of 56735272 is about 7532.2819915348. The cubic root of 56735272 is about 384.2533953964.

The spelling of 56735272 in words is "fifty-six million, seven hundred thirty-five thousand, two hundred seventy-two".