72729892 has 24 divisors (see below), whose sum is σ = 128854656. Its totient is φ = 35917728.

The previous prime is 72729869. The next prime is 72729959. The reversal of 72729892 is 29892727.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 156853 + ... + 157315.

It is an arithmetic number, because the mean of its divisors is an integer number (5368944).

Almost surely, 2^72729892 is an apocalyptic number.

It is an amenable number.

72729892 is a deficient number, since it is larger than the sum of its proper divisors (56124764).

72729892 is a wasteful number, since it uses less digits than its factorization.

72729892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 865 counting only the distinct ones).

The product of its digits is 254016, while the sum is 46.

The square root of 72729892 is about 8528.1822213177. The cubic root of 72729892 is about 417.4178154652.

The spelling of 72729892 in words is "seventy-two million, seven hundred twenty-nine thousand, eight hundred ninety-two".