72013347 has 32 divisors (see below), whose sum is σ = 124776960. Its totient is φ = 40188960.

The previous prime is 72013321. The next prime is 72013349. The reversal of 72013347 is 74331027.

It is not a de Polignac number, because 72013347 - 2⁶ = 72013283 is a prime.

It is a super-2 number, since 2×72013347² = 10371844292284818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 72013347.

It is not an unprimeable number, because it can be changed into a prime (72013349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3697 + ... + 12557.

It is an arithmetic number, because the mean of its divisors is an integer number (3899280).

Almost surely, 2^72013347 is an apocalyptic number.

72013347 is a deficient number, since it is larger than the sum of its proper divisors (52763613).

72013347 is a wasteful number, since it uses less digits than its factorization.

72013347 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8920 (or 8914 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 72013347 is about 8486.0678173109. The cubic root of 72013347 is about 416.0424693914.

The spelling of 72013347 in words is "seventy-two million, thirteen thousand, three hundred forty-seven".