56739200 has 192 divisors, whose sum is σ = 170748000. Its totient is φ = 18186240.

The previous prime is 56739173. The next prime is 56739209. The reversal of 56739200 is 293765.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56739209) 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, 380726 + ... + 380874.

Almost surely, 2^56739200 is an apocalyptic number.

56739200 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 56739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85374000).

56739200 is an abundant number, since it is smaller than the sum of its proper divisors (114008800).

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

56739200 is a wasteful number, since it uses less digits than its factorization.

56739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 32.

The square root of 56739200 is about 7532.5427313756. The cubic root of 56739200 is about 384.2622629694.

The spelling of 56739200 in words is "fifty-six million, seven hundred thirty-nine thousand, two hundred".