72989670 has 128 divisors (see below), whose sum is σ = 203575680. Its totient is φ = 16588800.

The previous prime is 72989629. The next prime is 72989677. The reversal of 72989670 is 7698927.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72989677) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669576 + ... + 669684.

It is an arithmetic number, because the mean of its divisors is an integer number (1590435).

Almost surely, 2^72989670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72989670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101787840).

72989670 is an abundant number, since it is smaller than the sum of its proper divisors (130586010).

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

72989670 is a wasteful number, since it uses less digits than its factorization.

72989670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250.

The product of its (nonzero) digits is 381024, while the sum is 48.

The square root of 72989670 is about 8543.3992064049. The cubic root of 72989670 is about 417.9142052041.

The spelling of 72989670 in words is "seventy-two million, nine hundred eighty-nine thousand, six hundred seventy".