72389905 has 24 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 47023200.

The previous prime is 72389903. The next prime is 72389923. The reversal of 72389905 is 50998327.

It is a happy number.

It is not a de Polignac number, because 72389905 - 2¹ = 72389903 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72389903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3121 + ... + 12430.

It is an arithmetic number, because the mean of its divisors is an integer number (4432320).

Almost surely, 2^72389905 is an apocalyptic number.

It is an amenable number.

72389905 is a deficient number, since it is larger than the sum of its proper divisors (33985775).

72389905 is a wasteful number, since it uses less digits than its factorization.

72389905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15589 (or 15582 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 72389905 is about 8508.2257257315. The cubic root of 72389905 is about 416.7663715173.

The spelling of 72389905 in words is "seventy-two million, three hundred eighty-nine thousand, nine hundred five".