72993531 has 8 divisors (see below), whose sum is σ = 104811280. Its totient is φ = 44919072.

The previous prime is 72993523. The next prime is 72993577. The reversal of 72993531 is 13539927.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 72993531 - 2³ = 72993523 is a prime.

It is a super-2 number, since 2×72993531² = 10656111135695922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39), and also a Moran number because the ratio is a prime number: 1871629 = 72993531 / (7 + 2 + 9 + 9 + 3 + 5 + 3 + 1).

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 72993531.

It is not an unprimeable number, because it can be changed into a prime (72993511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935776 + ... + 935853.

It is an arithmetic number, because the mean of its divisors is an integer number (13101410).

Almost surely, 2^72993531 is an apocalyptic number.

72993531 is a deficient number, since it is larger than the sum of its proper divisors (31817749).

72993531 is a wasteful number, since it uses less digits than its factorization.

72993531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1871645.

The product of its digits is 51030, while the sum is 39.

The square root of 72993531 is about 8543.6251673397. The cubic root of 72993531 is about 417.9215740016.

The spelling of 72993531 in words is "seventy-two million, nine hundred ninety-three thousand, five hundred thirty-one".