56772576 has 216 divisors, whose sum is σ = 196068600. Its totient is φ = 16111872.

The previous prime is 56772557. The next prime is 56772587. The reversal of 56772576 is 67527765.

56772576 is a `hidden beast` number, since 5 + 6 + 7 + 72 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 380950 + ... + 381098.

It is an arithmetic number, because the mean of its divisors is an integer number (907725).

Almost surely, 2^56772576 is an apocalyptic number.

56772576 is a gapful number since it is divisible by the number (56) 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 56772576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

56772576 is an abundant number, since it is smaller than the sum of its proper divisors (139296024).

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

56772576 is a wasteful number, since it uses less digits than its factorization.

56772576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 161 counting only the distinct ones).

The product of its digits is 617400, while the sum is 45.

The square root of 56772576 is about 7534.7578594139. The cubic root of 56772576 is about 384.3375937424.

The spelling of 56772576 in words is "fifty-six million, seven hundred seventy-two thousand, five hundred seventy-six".