57972096 has 288 divisors, whose sum is σ = 211629600. Its totient is φ = 15095808.

The previous prime is 57971981. The next prime is 57972107. The reversal of 57972096 is 69027975.

57972096 is a `hidden beast` number, since 579 + 72 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 733785 + ... + 733863.

It is an arithmetic number, because the mean of its divisors is an integer number (734825).

Almost surely, 2^57972096 is an apocalyptic number.

57972096 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 57972096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105814800).

57972096 is an abundant number, since it is smaller than the sum of its proper divisors (153657504).

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

57972096 is a wasteful number, since it uses less digits than its factorization.

57972096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 57972096 is about 7613.9408981158. The cubic root of 57972096 is about 387.0255777017.

The spelling of 57972096 in words is "fifty-seven million, nine hundred seventy-two thousand, ninety-six".