73457631 has 64 divisors (see below), whose sum is σ = 124579840. Its totient is φ = 42456960.

The previous prime is 73457621. The next prime is 73457639. The reversal of 73457631 is 13675437.

It is not a de Polignac number, because 73457631 - 2⁶ = 73457567 is a prime.

It is a super-2 number, since 2×73457631² = 10792047104264322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73457639) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 467805 + ... + 467961.

It is an arithmetic number, because the mean of its divisors is an integer number (1946560).

Almost surely, 2^73457631 is an apocalyptic number.

73457631 is a deficient number, since it is larger than the sum of its proper divisors (51122209).

73457631 is a wasteful number, since it uses less digits than its factorization.

73457631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its digits is 52920, while the sum is 36.

The square root of 73457631 is about 8570.7427332758. The cubic root of 73457631 is about 418.8054321510.

It can be divided in two parts, 73457 and 631, that added together give a cube (74088 = 42³).

The spelling of 73457631 in words is "seventy-three million, four hundred fifty-seven thousand, six hundred thirty-one".