72991930830 has 1024 divisors, whose sum is σ = 259183411200. Its totient is φ = 12700385280.

The previous prime is 72991930787. The next prime is 72991930831. The reversal of 72991930830 is 3803919927.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72991930831) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 1196589000 + ... + 1196589060.

It is an arithmetic number, because the mean of its divisors is an integer number (253108800).

Almost surely, 2^72991930830 is an apocalyptic number.

72991930830 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 72991930830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129591705600).

72991930830 is an abundant number, since it is smaller than the sum of its proper divisors (186191480370).

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

72991930830 is a wasteful number, since it uses less digits than its factorization.

72991930830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 734832, while the sum is 51.

The spelling of 72991930830 in words is "seventy-two billion, nine hundred ninety-one million, nine hundred thirty thousand, eight hundred thirty".