56272920 has 128 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 13460480.

The previous prime is 56272897. The next prime is 56272943. The reversal of 56272920 is 2927265.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56272897) and next prime (56272943).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117241 + ... + 117719.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 2^56272920 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 56272920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

56272920 is an abundant number, since it is smaller than the sum of its proper divisors (130351080).

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

56272920 is a wasteful number, since it uses less digits than its factorization.

56272920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 56272920 is about 7501.5278443794. The cubic root of 56272920 is about 383.2067500551.

The spelling of 56272920 in words is "fifty-six million, two hundred seventy-two thousand, nine hundred twenty".