57729672 has 320 divisors, whose sum is σ = 219542400. Its totient is φ = 13685760.

The previous prime is 57729649. The next prime is 57729697. The reversal of 57729672 is 27692775.

57729672 is a `hidden beast` number, since 577 + 2 + 9 + 6 + 72 = 666.

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 79 ways as a sum of consecutive naturals, for example, 648604 + ... + 648692.

It is an arithmetic number, because the mean of its divisors is an integer number (686070).

Almost surely, 2^57729672 is an apocalyptic number.

57729672 is a gapful number since it is divisible by the number (52) 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 57729672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109771200).

57729672 is an abundant number, since it is smaller than the sum of its proper divisors (161812728).

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

57729672 is a wasteful number, since it uses less digits than its factorization.

57729672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 125 counting only the distinct ones).

The product of its digits is 370440, while the sum is 45.

The square root of 57729672 is about 7598.0044748605. The cubic root of 57729672 is about 386.4853443676.

The spelling of 57729672 in words is "fifty-seven million, seven hundred twenty-nine thousand, six hundred seventy-two".