72013 has 8 divisors (see below), whose sum is σ = 78336. Its totient is φ = 66000.

The previous prime is 71999. The next prime is 72019. The reversal of 72013 is 31027.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-72013 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 71984 and 72002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663 + ... + 763.

It is an arithmetic number, because the mean of its divisors is an integer number (9792).

2⁷²⁰¹³ is an apocalyptic number.

It is an amenable number.

72013 is a deficient number, since it is larger than the sum of its proper divisors (6323).

72013 is a wasteful number, since it uses less digits than its factorization.

72013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155.

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 72013 is about 268.3523802764. The cubic root of 72013 is about 41.6041801150.

The spelling of 72013 in words is "seventy-two thousand, thirteen".