72543825 has 18 divisors (see below), whose sum is σ = 129934454. Its totient is φ = 38689920.

The previous prime is 72543799. The next prime is 72543833. The reversal of 72543825 is 52834527.

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 71216721 = 1152^2 + 8439^2 .

It is not a de Polignac number, because 72543825 - 2¹⁵ = 72511057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72543825.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 160984 + ... + 161433.

Almost surely, 2^72543825 is an apocalyptic number.

72543825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72543825 is a deficient number, since it is larger than the sum of its proper divisors (57390629).

72543825 is a wasteful number, since it uses less digits than its factorization.

72543825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322433 (or 322425 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 72543825 is about 8517.2662867847. The cubic root of 72543825 is about 417.0615474256.

The spelling of 72543825 in words is "seventy-two million, five hundred forty-three thousand, eight hundred twenty-five".