72729927 has 32 divisors (see below), whose sum is σ = 114816960. Its totient is φ = 45342720.

The previous prime is 72729869. The next prime is 72729959. The reversal of 72729927 is 72992727.

It is a de Polignac number, because none of the positive numbers 2^k-72729927 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729977) 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 31 ways as a sum of consecutive naturals, for example, 88177 + ... + 88997.

It is an arithmetic number, because the mean of its divisors is an integer number (3588030).

Almost surely, 2^72729927 is an apocalyptic number.

72729927 is a deficient number, since it is larger than the sum of its proper divisors (42087033).

72729927 is a wasteful number, since it uses less digits than its factorization.

72729927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1034 counting only the distinct ones).

The product of its digits is 222264, while the sum is 45.

The square root of 72729927 is about 8528.1842733374. The cubic root of 72729927 is about 417.4178824236.

The spelling of 72729927 in words is "seventy-two million, seven hundred twenty-nine thousand, nine hundred twenty-seven".