72789852 has 72 divisors (see below), whose sum is σ = 182922880. Its totient is φ = 22521600.

The previous prime is 72789823. The next prime is 72789907. The reversal of 72789852 is 25898727.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481977 + ... + 482127.

Almost surely, 2^72789852 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 72789852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91461440).

72789852 is an abundant number, since it is smaller than the sum of its proper divisors (110133028).

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

72789852 is a wasteful number, since it uses less digits than its factorization.

72789852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its digits is 564480, while the sum is 48.

The square root of 72789852 is about 8531.6969003827. The cubic root of 72789852 is about 417.5324931982.

The spelling of 72789852 in words is "seventy-two million, seven hundred eighty-nine thousand, eight hundred fifty-two".