56435072 has 32 divisors (see below), whose sum is σ = 113872800. Its totient is φ = 27855360.

The previous prime is 56435051. The next prime is 56435081. The reversal of 56435072 is 27053465.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7322 + ... + 12902.

It is an arithmetic number, because the mean of its divisors is an integer number (3558525).

Almost surely, 2^56435072 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 56435072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56936400).

56435072 is an abundant number, since it is smaller than the sum of its proper divisors (57437728).

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

56435072 is an equidigital number, since it uses as much as digits as its factorization.

56435072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5674 (or 5662 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 32.

The square root of 56435072 is about 7512.3280013588. The cubic root of 56435072 is about 383.5744707540.

The spelling of 56435072 in words is "fifty-six million, four hundred thirty-five thousand, seventy-two".