72477713 has 24 divisors (see below), whose sum is σ = 93965184. Its totient is φ = 55255200.

The previous prime is 72477703. The next prime is 72477733. The reversal of 72477713 is 31777427.

It is a happy number.

It is not a de Polignac number, because 72477713 - 2¹⁴ = 72461329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72477703) 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 23 ways as a sum of consecutive naturals, for example, 23903 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (3915216).

Almost surely, 2^72477713 is an apocalyptic number.

It is an amenable number.

72477713 is a deficient number, since it is larger than the sum of its proper divisors (21487471).

72477713 is a wasteful number, since it uses less digits than its factorization.

72477713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933 (or 2926 counting only the distinct ones).

The product of its digits is 57624, while the sum is 38.

The square root of 72477713 is about 8513.3843446658. The cubic root of 72477713 is about 416.9348141334.

The spelling of 72477713 in words is "seventy-two million, four hundred seventy-seven thousand, seven hundred thirteen".