72257823 has 12 divisors (see below), whose sum is σ = 113860968. Its totient is φ = 43792560.

The previous prime is 72257813. The next prime is 72257833. The reversal of 72257823 is 32875227.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72257813) and next prime (72257833).

It is not a de Polignac number, because 72257823 - 2⁸ = 72257567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72257813) 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 11 ways as a sum of consecutive naturals, for example, 364840 + ... + 365037.

It is an arithmetic number, because the mean of its divisors is an integer number (9488414).

Almost surely, 2^72257823 is an apocalyptic number.

72257823 is a deficient number, since it is larger than the sum of its proper divisors (41603145).

72257823 is a wasteful number, since it uses less digits than its factorization.

72257823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729894 (or 729891 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 72257823 is about 8500.4601640147. The cubic root of 72257823 is about 416.5127410814.

The spelling of 72257823 in words is "seventy-two million, two hundred fifty-seven thousand, eight hundred twenty-three".