72193880 has 64 divisors (see below), whose sum is σ = 181025280. Its totient is φ = 25686400.

The previous prime is 72193879. The next prime is 72193909. The reversal of 72193880 is 8839127.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18935 + ... + 22425.

It is an arithmetic number, because the mean of its divisors is an integer number (2828520).

Almost surely, 2^72193880 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 72193880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90512640).

72193880 is an abundant number, since it is smaller than the sum of its proper divisors (108831400).

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

72193880 is a wasteful number, since it uses less digits than its factorization.

72193880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3560 (or 3556 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 72193880 is about 8496.6981822353. The cubic root of 72193880 is about 416.3898435040.

The spelling of 72193880 in words is "seventy-two million, one hundred ninety-three thousand, eight hundred eighty".