72785625 has 40 divisors (see below), whose sum is σ = 132332640. Its totient is φ = 35280000.

The previous prime is 72785569. The next prime is 72785633. The reversal of 72785625 is 52658727.

It is not a de Polignac number, because 72785625 - 2¹³ = 72777433 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18861 + ... + 22389.

It is an arithmetic number, because the mean of its divisors is an integer number (3308316).

Almost surely, 2^72785625 is an apocalyptic number.

72785625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72785625 is a deficient number, since it is larger than the sum of its proper divisors (59547015).

72785625 is a wasteful number, since it uses less digits than its factorization.

72785625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3563 (or 3548 counting only the distinct ones).

The product of its digits is 235200, while the sum is 42.

The square root of 72785625 is about 8531.4491734992. The cubic root of 72785625 is about 417.5244108260.

The spelling of 72785625 in words is "seventy-two million, seven hundred eighty-five thousand, six hundred twenty-five".