58672400 has 30 divisors (see below), whose sum is σ = 140961402. Its totient is φ = 23468800.

The previous prime is 58672387. The next prime is 58672421. The reversal of 58672400 is 427685.

58672400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 6370576 + 52301824 = 2524^2 + 7232^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 72941 + ... + 73740.

Almost surely, 2^58672400 is an apocalyptic number.

58672400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

58672400 is an abundant number, since it is smaller than the sum of its proper divisors (82289002).

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

58672400 is a wasteful number, since it uses less digits than its factorization.

58672400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146699 (or 146688 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 58672400 is about 7659.7911198674. The cubic root of 58672400 is about 388.5777696073.

The spelling of 58672400 in words is "fifty-eight million, six hundred seventy-two thousand, four hundred".