58072464 has 50 divisors (see below), whose sum is σ = 168082310. Its totient is φ = 19357056.

The previous prime is 58072463. The next prime is 58072477. The reversal of 58072464 is 46427085.

58072464 is a `hidden beast` number, since 580 + 72 + 4 + 6 + 4 = 666.

58072464 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 only one way, i.e., 53406864 + 4665600 = 7308^2 + 2160^2 .

It is a super-2 number, since 2×58072464² = 6744822150062592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (58072463) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 21109 + ... + 23700.

Almost surely, 2^58072464 is an apocalyptic number.

58072464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

58072464 is an abundant number, since it is smaller than the sum of its proper divisors (110009846).

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

58072464 is a wasteful number, since it uses less digits than its factorization.

58072464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44829 (or 44814 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 58072464 is about 7620.5291154880. The cubic root of 58072464 is about 387.2488034129.

The spelling of 58072464 in words is "fifty-eight million, seventy-two thousand, four hundred sixty-four".