72508653 has 24 divisors (see below), whose sum is σ = 120806400. Its totient is φ = 41049504.

The previous prime is 72508651. The next prime is 72508661. The reversal of 72508653 is 35680527.

It is not a de Polignac number, because 72508653 - 2¹ = 72508651 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72508651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1588 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (5033600).

Almost surely, 2^72508653 is an apocalyptic number.

It is an amenable number.

72508653 is a deficient number, since it is larger than the sum of its proper divisors (48297747).

72508653 is a wasteful number, since it uses less digits than its factorization.

72508653 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 72508653 is about 8515.2012894588. The cubic root of 72508653 is about 416.9941341065.

The spelling of 72508653 in words is "seventy-two million, five hundred eight thousand, six hundred fifty-three".