72788349 has 12 divisors (see below), whose sum is σ = 98045376. Its totient is φ = 48033432.

The previous prime is 72788329. The next prime is 72788351. The reversal of 72788349 is 94388727.

It is not a de Polignac number, because 72788349 - 2²¹ = 70691197 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72788298 and 72788307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72788329) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30684 + ... + 32970.

It is an arithmetic number, because the mean of its divisors is an integer number (8170448).

Almost surely, 2^72788349 is an apocalyptic number.

It is an amenable number.

72788349 is a deficient number, since it is larger than the sum of its proper divisors (25257027).

72788349 is a wasteful number, since it uses less digits than its factorization.

72788349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2496 (or 2393 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 72788349 is about 8531.6088166301. The cubic root of 72788349 is about 417.5296193742.

It can be divided in two parts, 72788 and 349, that added together give a palindrome (73137).

The spelling of 72788349 in words is "seventy-two million, seven hundred eighty-eight thousand, three hundred forty-nine".