73152864 has 36 divisors (see below), whose sum is σ = 208029276. Its totient is φ = 24384192.

The previous prime is 73152851. The next prime is 73152883. The reversal of 73152864 is 46825137.

73152864 is a `hidden beast` number, since 73 + 1 + 528 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×73152864² = 10702683022804992, which contains 22 as substring.

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

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 5 ways as a sum of consecutive naturals, for example, 126714 + ... + 127289.

It is an arithmetic number, because the mean of its divisors is an integer number (5778591).

Almost surely, 2^73152864 is an apocalyptic number.

It is an amenable number.

73152864 is an abundant number, since it is smaller than the sum of its proper divisors (134876412).

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

73152864 is a wasteful number, since it uses less digits than its factorization.

73152864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254019 (or 254008 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 73152864 is about 8552.9447560475. The cubic root of 73152864 is about 418.2254379429.

The spelling of 73152864 in words is "seventy-three million, one hundred fifty-two thousand, eight hundred sixty-four".