72435725 has 24 divisors (see below), whose sum is σ = 97446888. Its totient is φ = 53196800.

The previous prime is 72435719. The next prime is 72435743. The reversal of 72435725 is 52753427.

It can be written as a sum of positive squares in 12 ways, for example, as 29441476 + 42994249 = 5426^2 + 6557^2 .

It is not a de Polignac number, because 72435725 - 2¹⁸ = 72173581 is a prime.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15347 + ... + 19503.

It is an arithmetic number, because the mean of its divisors is an integer number (4060287).

Almost surely, 2^72435725 is an apocalyptic number.

It is an amenable number.

72435725 is a deficient number, since it is larger than the sum of its proper divisors (25011163).

72435725 is a wasteful number, since it uses less digits than its factorization.

72435725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4225 (or 4220 counting only the distinct ones).

The product of its digits is 58800, while the sum is 35.

The square root of 72435725 is about 8510.9179880904. The cubic root of 72435725 is about 416.8542852833.

The spelling of 72435725 in words is "seventy-two million, four hundred thirty-five thousand, seven hundred twenty-five".