72729108 has 18 divisors (see below), whose sum is σ = 183843114. Its totient is φ = 24243024.

The previous prime is 72729101. The next prime is 72729143. The reversal of 72729108 is 80192727.

It can be written as a sum of positive squares in only one way, i.e., 70257924 + 2471184 = 8382^2 + 1572^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2020253 = 72729108 / (7 + 2 + 7 + 2 + 9 + 1 + 0 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1010091 + ... + 1010162.

Almost surely, 2^72729108 is an apocalyptic number.

It is an amenable number.

72729108 is an abundant number, since it is smaller than the sum of its proper divisors (111114006).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72729108 is a wasteful number, since it uses less digits than its factorization.

72729108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2020263 (or 2020258 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72729108 is about 8528.1362559471. The cubic root of 72729108 is about 417.4163155925.

The spelling of 72729108 in words is "seventy-two million, seven hundred twenty-nine thousand, one hundred eight".