56172900 has 144 divisors (see below), whose sum is σ = 193987584. Its totient is φ = 12270720.

The previous prime is 56172889. The next prime is 56172917. The reversal of 56172900 is 927165.

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

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 47 ways as a sum of consecutive naturals, for example, 47719 + ... + 48881.

It is an arithmetic number, because the mean of its divisors is an integer number (1347136).

Almost surely, 2^56172900 is an apocalyptic number.

56172900 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 56172900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96993792).

56172900 is an abundant number, since it is smaller than the sum of its proper divisors (137814684).

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

56172900 is a wasteful number, since it uses less digits than its factorization.

56172900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The square root of 56172900 is about 7494.8582374852. The cubic root of 56172900 is about 382.9795770207.

The spelling of 56172900 in words is "fifty-six million, one hundred seventy-two thousand, nine hundred".