72958957 has 2 divisors, whose sum is σ = 72958958. Its totient is φ = 72958956.

The previous prime is 72958937. The next prime is 72958979. The reversal of 72958957 is 75985927.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 45616516 + 27342441 = 6754^2 + 5229^2 .

It is an emirp because it is prime and its reverse (75985927) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72958957 - 2¹¹ = 72956909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72958937) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36479478 + 36479479.

It is an arithmetic number, because the mean of its divisors is an integer number (36479479).

Almost surely, 2^72958957 is an apocalyptic number.

It is an amenable number.

72958957 is a deficient number, since it is larger than the sum of its proper divisors (1).

72958957 is an equidigital number, since it uses as much as digits as its factorization.

72958957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1587600, while the sum is 52.

The square root of 72958957 is about 8541.6015477193. The cubic root of 72958957 is about 417.8555795579.

The spelling of 72958957 in words is "seventy-two million, nine hundred fifty-eight thousand, nine hundred fifty-seven".