72786525 has 24 divisors (see below), whose sum is σ = 137532864. Its totient is φ = 33273600.

The previous prime is 72786523. The next prime is 72786557. The reversal of 72786525 is 52568727.

It is not a de Polignac number, because 72786525 - 2¹ = 72786523 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72786523) 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 23 ways as a sum of consecutive naturals, for example, 68796 + ... + 69845.

It is an arithmetic number, because the mean of its divisors is an integer number (5730536).

Almost surely, 2^72786525 is an apocalyptic number.

72786525 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72786525 is a deficient number, since it is larger than the sum of its proper divisors (64746339).

72786525 is a wasteful number, since it uses less digits than its factorization.

72786525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138661 (or 138656 counting only the distinct ones).

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

The square root of 72786525 is about 8531.5019193575. The cubic root of 72786525 is about 417.5261317264.

The spelling of 72786525 in words is "seventy-two million, seven hundred eighty-six thousand, five hundred twenty-five".