72719790 has 192 divisors, whose sum is σ = 218792448. Its totient is φ = 15333120.

The previous prime is 72719789. The next prime is 72719797. The reversal of 72719790 is 9791727.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72719797) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1085337 + ... + 1085403.

It is an arithmetic number, because the mean of its divisors is an integer number (1139544).

Almost surely, 2^72719790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72719790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109396224).

72719790 is an abundant number, since it is smaller than the sum of its proper divisors (146072658).

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

72719790 is a wasteful number, since it uses less digits than its factorization.

72719790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 55566, while the sum is 42.

The square root of 72719790 is about 8527.5899291652. The cubic root of 72719790 is about 417.3984884737.

The spelling of 72719790 in words is "seventy-two million, seven hundred nineteen thousand, seven hundred ninety".