72015413 has 2 divisors, whose sum is σ = 72015414. Its totient is φ = 72015412.

The previous prime is 72015367. The next prime is 72015443. The reversal of 72015413 is 31451027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 44063044 + 27952369 = 6638^2 + 5287^2 .

It is a cyclic number.

It is not a de Polignac number, because 72015413 - 2¹⁶ = 71949877 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72015443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36007706 + 36007707.

It is an arithmetic number, because the mean of its divisors is an integer number (36007707).

Almost surely, 2^72015413 is an apocalyptic number.

It is an amenable number.

72015413 is a deficient number, since it is larger than the sum of its proper divisors (1).

72015413 is an equidigital number, since it uses as much as digits as its factorization.

72015413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 72015413 is about 8486.1895453731. The cubic root of 72015413 is about 416.0464479849.

The spelling of 72015413 in words is "seventy-two million, fifteen thousand, four hundred thirteen".