72309719790 has 240 divisors, whose sum is σ = 244248482016. Its totient is φ = 15025253760.

The previous prime is 72309719773. The next prime is 72309719809. The reversal of 72309719790 is 9791790327.

It is a happy number.

It is a super-2 number, since 2×72309719790² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 633372 + ... + 738768.

Almost surely, 2^72309719790 is an apocalyptic number.

72309719790 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72309719790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122124241008).

72309719790 is an abundant number, since it is smaller than the sum of its proper divisors (171938762226).

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

72309719790 is a wasteful number, since it uses less digits than its factorization.

72309719790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105445 (or 105425 counting only the distinct ones).

The product of its (nonzero) digits is 1500282, while the sum is 54.

The spelling of 72309719790 in words is "seventy-two billion, three hundred nine million, seven hundred nineteen thousand, seven hundred ninety".