73128131 has 12 divisors (see below), whose sum is σ = 77705712. Its totient is φ = 68807664.

The previous prime is 73128113. The next prime is 73128137. The reversal of 73128131 is 13182137.

It is not a de Polignac number, because 73128131 - 2¹⁰ = 73127107 is a prime.

It is a super-2 number, since 2×73128131² = 10695447087106322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 73128131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73128137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59681 + ... + 60893.

It is an arithmetic number, because the mean of its divisors is an integer number (6475476).

Almost surely, 2^73128131 is an apocalyptic number.

73128131 is a deficient number, since it is larger than the sum of its proper divisors (4577581).

73128131 is a wasteful number, since it uses less digits than its factorization.

73128131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1399 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 73128131 is about 8551.4987575278. The cubic root of 73128131 is about 418.1782985913.

The spelling of 73128131 in words is "seventy-three million, one hundred twenty-eight thousand, one hundred thirty-one".