72656949 has 8 divisors (see below), whose sum is σ = 97368480. Its totient is φ = 48191696.

The previous prime is 72656869. The next prime is 72656989. The reversal of 72656949 is 94965627.

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

It is a cyclic number.

It is not a de Polignac number, because 72656949 - 2²³ = 64268341 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72656898 and 72656907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72656989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60879 + ... + 62060.

It is an arithmetic number, because the mean of its divisors is an integer number (12171060).

Almost surely, 2^72656949 is an apocalyptic number.

It is an amenable number.

72656949 is a deficient number, since it is larger than the sum of its proper divisors (24711531).

72656949 is a wasteful number, since it uses less digits than its factorization.

72656949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123139.

The product of its digits is 816480, while the sum is 48.

The square root of 72656949 is about 8523.9045630509. The cubic root of 72656949 is about 417.2782218193.

It can be divided in two parts, 726 and 56949, that added together give a palindrome (57675).

The spelling of 72656949 in words is "seventy-two million, six hundred fifty-six thousand, nine hundred forty-nine".