72113905 has 16 divisors (see below), whose sum is σ = 90215424. Its totient is φ = 55275840.

The previous prime is 72113897. The next prime is 72113917. The reversal of 72113905 is 50931127.

It is not a de Polignac number, because 72113905 - 2³ = 72113897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13707 + ... + 18223.

It is an arithmetic number, because the mean of its divisors is an integer number (5638464).

Almost surely, 2^72113905 is an apocalyptic number.

It is an amenable number.

72113905 is a deficient number, since it is larger than the sum of its proper divisors (18101519).

72113905 is a wasteful number, since it uses less digits than its factorization.

72113905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4656.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 72113905 is about 8491.9906382426. The cubic root of 72113905 is about 416.2360304570.

The spelling of 72113905 in words is "seventy-two million, one hundred thirteen thousand, nine hundred five".