72988791 has 16 divisors (see below), whose sum is σ = 101274624. Its totient is φ = 46720544.

The previous prime is 72988777. The next prime is 72988807. The reversal of 72988791 is 19788927.

It is a cyclic number.

It is not a de Polignac number, because 72988791 - 2¹¹ = 72986743 is a prime.

It is a super-2 number, since 2×72988791² = 10654727223283362, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72988691) 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, 2590 + ... + 12356.

It is an arithmetic number, because the mean of its divisors is an integer number (6329664).

Almost surely, 2^72988791 is an apocalyptic number.

72988791 is a deficient number, since it is larger than the sum of its proper divisors (28285833).

72988791 is a wasteful number, since it uses less digits than its factorization.

72988791 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9870.

The product of its digits is 508032, while the sum is 51.

The square root of 72988791 is about 8543.3477630259. The cubic root of 72988791 is about 417.9125275783.

The spelling of 72988791 in words is "seventy-two million, nine hundred eighty-eight thousand, seven hundred ninety-one".