72108949 has 16 divisors (see below), whose sum is σ = 80510976. Its totient is φ = 64033200.

The previous prime is 72108943. The next prime is 72108973. The reversal of 72108949 is 94980127.

It is not a de Polignac number, because 72108949 - 2⁹ = 72108437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72108943) 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, 98824 + ... + 99550.

It is an arithmetic number, because the mean of its divisors is an integer number (5031936).

Almost surely, 2^72108949 is an apocalyptic number.

It is an amenable number.

72108949 is a deficient number, since it is larger than the sum of its proper divisors (8402027).

72108949 is a wasteful number, since it uses less digits than its factorization.

72108949 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936.

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 72108949 is about 8491.6988288563. The cubic root of 72108949 is about 416.2264950189.

The spelling of 72108949 in words is "seventy-two million, one hundred eight thousand, nine hundred forty-nine".