72957251 has 4 divisors (see below), whose sum is σ = 77248872. Its totient is φ = 68665632.

The previous prime is 72957239. The next prime is 72957263. The reversal of 72957251 is 15275927.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 15275927 = 149 ⋅102523.

It is an interprime number because it is at equal distance from previous prime (72957239) and next prime (72957263).

It is a cyclic number.

It is not a de Polignac number, because 72957251 - 2¹⁰ = 72956227 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72957221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2145785 + ... + 2145818.

It is an arithmetic number, because the mean of its divisors is an integer number (19312218).

Almost surely, 2^72957251 is an apocalyptic number.

72957251 is a deficient number, since it is larger than the sum of its proper divisors (4291621).

72957251 is a wasteful number, since it uses less digits than its factorization.

72957251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291620.

The product of its digits is 44100, while the sum is 38.

The square root of 72957251 is about 8541.5016829595. The cubic root of 72957251 is about 417.8523226255.

The spelling of 72957251 in words is "seventy-two million, nine hundred fifty-seven thousand, two hundred fifty-one".