56732160 has 160 divisors (see below), whose sum is σ = 185613120. Its totient is φ = 14778368.

The previous prime is 56732153. The next prime is 56732167. The reversal of 56732160 is 6123765.

It is an interprime number because it is at equal distance from previous prime (56732153) and next prime (56732167).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (56732167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 637396 + ... + 637484.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 2^56732160 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 56732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92806560).

56732160 is an abundant number, since it is smaller than the sum of its proper divisors (128880960).

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

56732160 is an equidigital number, since it uses as much as digits as its factorization.

56732160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 56732160 is about 7532.0754111998. The cubic root of 56732160 is about 384.2463696762.

The spelling of 56732160 in words is "fifty-six million, seven hundred thirty-two thousand, one hundred sixty".