72646899 has 64 divisors (see below), whose sum is σ = 119347200. Its totient is φ = 38817792.

The previous prime is 72646891. The next prime is 72646907. The reversal of 72646899 is 99864627.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (72646891) and next prime (72646907).

It is not a de Polignac number, because 72646899 - 2³ = 72646891 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (72646891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 919542 + ... + 919620.

It is an arithmetic number, because the mean of its divisors is an integer number (1864800).

Almost surely, 2^72646899 is an apocalyptic number.

72646899 is a gapful number since it is divisible by the number (79) formed by its first and last digit.

72646899 is a deficient number, since it is larger than the sum of its proper divisors (46700301).

72646899 is a wasteful number, since it uses less digits than its factorization.

72646899 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204.

The product of its digits is 1306368, while the sum is 51.

The square root of 72646899 is about 8523.3150240971. The cubic root of 72646899 is about 417.2589814505.

The spelling of 72646899 in words is "seventy-two million, six hundred forty-six thousand, eight hundred ninety-nine".