72093507031 has 128 divisors (see below), whose sum is σ = 97611530240. Its totient is φ = 52040102400.

The previous prime is 72093507019. The next prime is 72093507037. The reversal of 72093507031 is 13070539027.

It is not a de Polignac number, because 72093507031 - 2¹⁹ = 72092982743 is a prime.

It is a super-2 number, since 2×72093507031² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72093507037) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1076022460 + ... + 1076022526.

It is an arithmetic number, because the mean of its divisors is an integer number (762590080).

Almost surely, 2^72093507031 is an apocalyptic number.

72093507031 is a deficient number, since it is larger than the sum of its proper divisors (25518023209).

72093507031 is a wasteful number, since it uses less digits than its factorization.

72093507031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 37.

The spelling of 72093507031 in words is "seventy-two billion, ninety-three million, five hundred seven thousand, thirty-one".