73057131 has 48 divisors (see below), whose sum is σ = 127156224. Its totient is φ = 39517632.

The previous prime is 73057123. The next prime is 73057151. The reversal of 73057131 is 13175037.

It is not a de Polignac number, because 73057131 - 2³ = 73057123 is a prime.

It is a super-2 number, since 2×73057131² = 10674688779902322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 73057095 and 73057104.

It is not an unprimeable number, because it can be changed into a prime (73057151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183825 + ... + 184221.

It is an arithmetic number, because the mean of its divisors is an integer number (2649088).

Almost surely, 2^73057131 is an apocalyptic number.

73057131 is a deficient number, since it is larger than the sum of its proper divisors (54099093).

73057131 is a wasteful number, since it uses less digits than its factorization.

73057131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 73057131 is about 8547.3464303256. The cubic root of 73057131 is about 418.0429185268.

The spelling of 73057131 in words is "seventy-three million, fifty-seven thousand, one hundred thirty-one".