72706801830 has 128 divisors (see below), whose sum is σ = 192683836800. Its totient is φ = 17444106240.

The previous prime is 72706801823. The next prime is 72706801841. The reversal of 72706801830 is 3810860727.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31163344 + ... + 31165676.

It is an arithmetic number, because the mean of its divisors is an integer number (1505342475).

Almost surely, 2^72706801830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72706801830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96341918400).

72706801830 is an abundant number, since it is smaller than the sum of its proper divisors (119977034970).

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

72706801830 is a wasteful number, since it uses less digits than its factorization.

72706801830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4346.

The product of its (nonzero) digits is 112896, while the sum is 42.

The spelling of 72706801830 in words is "seventy-two billion, seven hundred six million, eight hundred one thousand, eight hundred thirty".