72636329 has 6 divisors (see below), whose sum is σ = 75228270. Its totient is φ = 70130816.

The previous prime is 72636307. The next prime is 72636349. The reversal of 72636329 is 92363627.

It can be written as a sum of positive squares in 3 ways, for example, as 7398400 + 65237929 = 2720^2 + 8077^2 .

It is not a de Polignac number, because 72636329 - 2²⁴ = 55859113 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72636292 and 72636301.

It is not an unprimeable number, because it can be changed into a prime (72636349) 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 5 ways as a sum of consecutive naturals, for example, 42344 + ... + 44025.

It is an arithmetic number, because the mean of its divisors is an integer number (12538045).

Almost surely, 2^72636329 is an apocalyptic number.

It is an amenable number.

72636329 is a deficient number, since it is larger than the sum of its proper divisors (2591941).

72636329 is an equidigital number, since it uses as much as digits as its factorization.

72636329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86427 (or 86398 counting only the distinct ones).

The product of its digits is 81648, while the sum is 38.

The square root of 72636329 is about 8522.6949376356. The cubic root of 72636329 is about 417.2387436453.

The spelling of 72636329 in words is "seventy-two million, six hundred thirty-six thousand, three hundred twenty-nine".