72267013 has 32 divisors (see below), whose sum is σ = 95648000. Its totient is φ = 54105408.

The previous prime is 72266993. The next prime is 72267023. The reversal of 72267013 is 31076227.

It is not a de Polignac number, because 72267013 - 2¹³ = 72258821 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72267023) 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, 84295 + ... + 85147.

It is an arithmetic number, because the mean of its divisors is an integer number (2989000).

Almost surely, 2^72267013 is an apocalyptic number.

It is an amenable number.

72267013 is a deficient number, since it is larger than the sum of its proper divisors (23380987).

72267013 is a wasteful number, since it uses less digits than its factorization.

72267013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 28.

The square root of 72267013 is about 8501.0007057993. Note that the first 3 decimals coincide. The cubic root of 72267013 is about 416.5303981768.

The spelling of 72267013 in words is "seventy-two million, two hundred sixty-seven thousand, thirteen".