57672100 has 18 divisors (see below), whose sum is σ = 125148674. Its totient is φ = 23068800.

The previous prime is 57672091. The next prime is 57672101. The reversal of 57672100 is 127675.

It can be written as a sum of positive squares in 3 ways, for example, as 246016 + 57426084 = 496^2 + 7578^2 .

It is a super-2 number, since 2×57672100² = 6652142236820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57672101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 288261 + ... + 288460.

Almost surely, 2^57672100 is an apocalyptic number.

57672100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57672100 is an abundant number, since it is smaller than the sum of its proper divisors (67476574).

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

57672100 is a wasteful number, since it uses less digits than its factorization.

57672100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576735 (or 576728 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 57672100 is about 7594.2149034643. The cubic root of 57672100 is about 386.3568250451.

Adding to 57672100 its reverse (127675), we get a palindrome (57799775).

The spelling of 57672100 in words is "fifty-seven million, six hundred seventy-two thousand, one hundred".