72727829 has 16 divisors (see below), whose sum is σ = 77775360. Its totient is φ = 67884480.

The previous prime is 72727807. The next prime is 72727843. The reversal of 72727829 is 92872727.

It is a cyclic number.

It is not a de Polignac number, because 72727829 - 2²⁴ = 55950613 is a prime.

It is a super-2 number, since 2×72727829² = 10578674222106482, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

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 72727829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727859) 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, 186767 + ... + 187155.

It is an arithmetic number, because the mean of its divisors is an integer number (4860960).

Almost surely, 2^72727829 is an apocalyptic number.

It is an amenable number.

72727829 is a deficient number, since it is larger than the sum of its proper divisors (5047531).

72727829 is a wasteful number, since it uses less digits than its factorization.

72727829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620.

The product of its digits is 197568, while the sum is 44.

The square root of 72727829 is about 8528.0612685416. The cubic root of 72727829 is about 417.4138687107.

The spelling of 72727829 in words is "seventy-two million, seven hundred twenty-seven thousand, eight hundred twenty-nine".