56737200 has 120 divisors (see below), whose sum is σ = 195782608. Its totient is φ = 13962240.

The previous prime is 56737199. The next prime is 56737201. The reversal of 56737200 is 273765.

It is an interprime number because it is at equal distance from previous prime (56737199) and next prime (56737201).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56737201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13782 + ... + 17418.

Almost surely, 2^56737200 is an apocalyptic number.

56737200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56737200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97891304).

56737200 is an abundant number, since it is smaller than the sum of its proper divisors (139045408).

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

56737200 is a wasteful number, since it uses less digits than its factorization.

56737200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 56737200 is about 7532.4099729104. The cubic root of 56737200 is about 384.2577479630.

The spelling of 56737200 in words is "fifty-six million, seven hundred thirty-seven thousand, two hundred".