72615 has 16 divisors (see below), whose sum is σ = 119808. Its totient is φ = 37536.

The previous prime is 72613. The next prime is 72617. The reversal of 72615 is 51627.

It is an interprime number because it is at equal distance from previous prime (72613) and next prime (72617).

It is not a de Polignac number, because 72615 - 2¹ = 72613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72591 and 72600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 654 + ... + 756.

It is an arithmetic number, because the mean of its divisors is an integer number (7488).

2⁷²⁶¹⁵ is an apocalyptic number.

72615 is a deficient number, since it is larger than the sum of its proper divisors (47193).

72615 is a wasteful number, since it uses less digits than its factorization.

72615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158.

The product of its digits is 420, while the sum is 21.

The square root of 72615 is about 269.4717053792. The cubic root of 72615 is about 41.7197900188.

It can be divided in two parts, 726 and 15, that added together give a triangular number (741 = T₃₈).

The spelling of 72615 in words is "seventy-two thousand, six hundred fifteen".