72037957 has 2 divisors, whose sum is σ = 72037958. Its totient is φ = 72037956.

The previous prime is 72037951. The next prime is 72037961. The reversal of 72037957 is 75973027.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 48525156 + 23512801 = 6966^2 + 4849^2 .

It is a cyclic number.

It is not a de Polignac number, because 72037957 - 2¹⁹ = 71513669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72037951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36018978 + 36018979.

It is an arithmetic number, because the mean of its divisors is an integer number (36018979).

Almost surely, 2^72037957 is an apocalyptic number.

It is an amenable number.

72037957 is a deficient number, since it is larger than the sum of its proper divisors (1).

72037957 is an equidigital number, since it uses as much as digits as its factorization.

72037957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 92610, while the sum is 40.

The square root of 72037957 is about 8487.5177172127. The cubic root of 72037957 is about 416.0898570839.

The spelling of 72037957 in words is "seventy-two million, thirty-seven thousand, nine hundred fifty-seven".