72640719 has 24 divisors (see below), whose sum is σ = 112333312. Its totient is φ = 46860120.

The previous prime is 72640703. The next prime is 72640747. The reversal of 72640719 is 91704627.

It is a happy number.

72640719 is a `hidden beast` number, since 7 + 2 + 640 + 7 + 1 + 9 = 666.

It is not a de Polignac number, because 72640719 - 2⁴ = 72640703 is a prime.

It is a super-2 number, since 2×72640719² = 10553348113673922, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72640769) 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, 2712 + ... + 12354.

Almost surely, 2^72640719 is an apocalyptic number.

72640719 is a deficient number, since it is larger than the sum of its proper divisors (39692593).

72640719 is an equidigital number, since it uses as much as digits as its factorization.

72640719 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9689 (or 9677 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72640719 is about 8522.9524813881. The cubic root of 72640719 is about 417.2471491784.

The spelling of 72640719 in words is "seventy-two million, six hundred forty thousand, seven hundred nineteen".