72576427 has 16 divisors (see below), whose sum is σ = 90883584. Its totient is φ = 56304000.

The previous prime is 72576407. The next prime is 72576433. The reversal of 72576427 is 72467527.

It is a cyclic number.

It is not a de Polignac number, because 72576427 - 2¹⁹ = 72052139 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72576427.

It is not an unprimeable number, because it can be changed into a prime (72576407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16602 + ... + 20512.

It is an arithmetic number, because the mean of its divisors is an integer number (5680224).

Almost surely, 2^72576427 is an apocalyptic number.

72576427 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72576427 is a deficient number, since it is larger than the sum of its proper divisors (18307157).

72576427 is a wasteful number, since it uses less digits than its factorization.

72576427 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4170.

The product of its digits is 164640, while the sum is 40.

The square root of 72576427 is about 8519.1799487979. The cubic root of 72576427 is about 417.1240154312.

Subtracting from 72576427 its reverse (72467527), we obtain a square (108900 = 330²).

The spelling of 72576427 in words is "seventy-two million, five hundred seventy-six thousand, four hundred twenty-seven".