73131072 has 56 divisors (see below), whose sum is σ = 221138496. Its totient is φ = 20894208.

The previous prime is 73131067. The next prime is 73131073. The reversal of 73131072 is 27013137.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (73131073) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 25863 + ... + 28550.

Almost surely, 2^73131072 is an apocalyptic number.

It is an amenable number.

73131072 is an abundant number, since it is smaller than the sum of its proper divisors (148007424).

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

73131072 is a wasteful number, since it uses less digits than its factorization.

73131072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54435 (or 54425 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 24.

The square root of 73131072 is about 8551.6707139599. The cubic root of 73131072 is about 418.1839044864.

It can be divided in two parts, 7313 and 1072, that added together give a triangular number (8385 = T₁₂₉).

The spelling of 73131072 in words is "seventy-three million, one hundred thirty-one thousand, seventy-two".