72165377 has 2 divisors, whose sum is σ = 72165378. Its totient is φ = 72165376.

The previous prime is 72165307. The next prime is 72165389. The reversal of 72165377 is 77356127.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50922496 + 21242881 = 7136^2 + 4609^2 .

It is an emirp because it is prime and its reverse (77356127) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72165377 - 2¹⁸ = 71903233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72165377.

It is not a weakly prime, because it can be changed into another prime (72165307) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36082688 + 36082689.

It is an arithmetic number, because the mean of its divisors is an integer number (36082689).

Almost surely, 2^72165377 is an apocalyptic number.

It is an amenable number.

72165377 is a deficient number, since it is larger than the sum of its proper divisors (1).

72165377 is an equidigital number, since it uses as much as digits as its factorization.

72165377 is an evil number, because the sum of its binary digits is even.

The product of its digits is 61740, while the sum is 38.

The square root of 72165377 is about 8495.0207180442. The cubic root of 72165377 is about 416.3350377412.

The spelling of 72165377 in words is "seventy-two million, one hundred sixty-five thousand, three hundred seventy-seven".