72969204 has 96 divisors (see below), whose sum is σ = 214050816. Its totient is φ = 18794880.

The previous prime is 72969203. The next prime is 72969229. The reversal of 72969204 is 40296927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72969203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144817 + ... + 145319.

It is an arithmetic number, because the mean of its divisors is an integer number (2229696).

Almost surely, 2^72969204 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 72969204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107025408).

72969204 is an abundant number, since it is smaller than the sum of its proper divisors (141081612).

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

72969204 is a wasteful number, since it uses less digits than its factorization.

72969204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 72969204 is about 8542.2013556226. The cubic root of 72969204 is about 417.8751410842.

The spelling of 72969204 in words is "seventy-two million, nine hundred sixty-nine thousand, two hundred four".