72632813 has 16 divisors (see below), whose sum is σ = 83130624. Its totient is φ = 62861760.

The previous prime is 72632803. The next prime is 72632831. The reversal of 72632813 is 31823627.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 72632813 - 2⁴ = 72632797 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72632813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72632803) 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 15 ways as a sum of consecutive naturals, for example, 17231 + ... + 21027.

It is an arithmetic number, because the mean of its divisors is an integer number (5195664).

Almost surely, 2^72632813 is an apocalyptic number.

It is an amenable number.

72632813 is a deficient number, since it is larger than the sum of its proper divisors (10497811).

72632813 is a wasteful number, since it uses less digits than its factorization.

72632813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3892.

The product of its digits is 12096, while the sum is 32.

The square root of 72632813 is about 8522.4886623568. The cubic root of 72632813 is about 417.2320113159.

The spelling of 72632813 in words is "seventy-two million, six hundred thirty-two thousand, eight hundred thirteen".