72389772 has 144 divisors (see below), whose sum is σ = 237269760. Its totient is φ = 18071424.

The previous prime is 72389731. The next prime is 72389773. The reversal of 72389772 is 27798327.

It is not an unprimeable number, because it can be changed into a prime (72389773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61663 + ... + 62825.

Almost surely, 2^72389772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72389772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118634880).

72389772 is an abundant number, since it is smaller than the sum of its proper divisors (164879988).

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

72389772 is a wasteful number, since it uses less digits than its factorization.

72389772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212 (or 1207 counting only the distinct ones).

The product of its digits is 296352, while the sum is 45.

The square root of 72389772 is about 8508.2179097623. The cubic root of 72389772 is about 416.7661162793.

The spelling of 72389772 in words is "seventy-two million, three hundred eighty-nine thousand, seven hundred seventy-two".