72608493 has 16 divisors (see below), whose sum is σ = 101771136. Its totient is φ = 45957120.

The previous prime is 72608449. The next prime is 72608507. The reversal of 72608493 is 39480627.

It is not a de Polignac number, because 72608493 - 2⁶ = 72608429 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72608413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5613 + ... + 13293.

It is an arithmetic number, because the mean of its divisors is an integer number (6360696).

Almost surely, 2^72608493 is an apocalyptic number.

It is an amenable number.

72608493 is a deficient number, since it is larger than the sum of its proper divisors (29162643).

72608493 is a wasteful number, since it uses less digits than its factorization.

72608493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7844.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72608493 is about 8521.0617296203. The cubic root of 72608493 is about 417.1854381724.

It can be divided in two parts, 7260 and 8493, that added together give a triangular number (15753 = T₁₇₇).

The spelling of 72608493 in words is "seventy-two million, six hundred eight thousand, four hundred ninety-three".