73533673872 has 30 divisors (see below), whose sum is σ = 205792157142. Its totient is φ = 24511224576.

The previous prime is 73533673861. The next prime is 73533673903. The reversal of 73533673872 is 27837633537.

73533673872 is a `hidden beast` number, since 7 + 3 + 533 + 6 + 7 + 38 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42043041936 + 31490631936 = 205044^2 + 177456^2 .

It is a super-2 number, since 2×73533673872² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255325113 + ... + 255325400.

Almost surely, 2^73533673872 is an apocalyptic number.

73533673872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73533673872 is an abundant number, since it is smaller than the sum of its proper divisors (132258483270).

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

73533673872 is a wasteful number, since it uses less digits than its factorization.

73533673872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510650527 (or 510650518 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 54.

The spelling of 73533673872 in words is "seventy-three billion, five hundred thirty-three million, six hundred seventy-three thousand, eight hundred seventy-two".