72195957 has 36 divisors (see below), whose sum is σ = 113647716. Its totient is φ = 44129280.

The previous prime is 72195943. The next prime is 72195961. The reversal of 72195957 is 75959127.

It can be written as a sum of positive squares in 6 ways, for example, as 9326916 + 62869041 = 3054^2 + 7929^2 .

It is not a de Polignac number, because 72195957 - 2⁴ = 72195941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72195997) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 106303 + ... + 106979.

It is an arithmetic number, because the mean of its divisors is an integer number (3156881).

Almost surely, 2^72195957 is an apocalyptic number.

It is an amenable number.

72195957 is a deficient number, since it is larger than the sum of its proper divisors (41451759).

72195957 is a wasteful number, since it uses less digits than its factorization.

72195957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 738 counting only the distinct ones).

The product of its digits is 198450, while the sum is 45.

The square root of 72195957 is about 8496.8204053046. The cubic root of 72195957 is about 416.3938366098.

The spelling of 72195957 in words is "seventy-two million, one hundred ninety-five thousand, nine hundred fifty-seven".