72678825 has 36 divisors (see below), whose sum is σ = 137840508. Its totient is φ = 36480000.

The previous prime is 72678811. The next prime is 72678863. The reversal of 72678825 is 52887627.

It can be written as a sum of positive squares in 6 ways, for example, as 2471184 + 70207641 = 1572^2 + 8379^2 .

It is not a de Polignac number, because 72678825 - 2⁸ = 72678569 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5676 + ... + 13325.

It is an arithmetic number, because the mean of its divisors is an integer number (3828903).

Almost surely, 2^72678825 is an apocalyptic number.

72678825 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

72678825 is a deficient number, since it is larger than the sum of its proper divisors (65161683).

72678825 is a wasteful number, since it uses less digits than its factorization.

72678825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19034 (or 19026 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 72678825 is about 8525.1876812185. The cubic root of 72678825 is about 417.3200965128.

The spelling of 72678825 in words is "seventy-two million, six hundred seventy-eight thousand, eight hundred twenty-five".