72813170850 has 192 divisors, whose sum is σ = 217486080000. Its totient is φ = 15748853760.

The previous prime is 72813170839. The next prime is 72813170861. The reversal of 72813170850 is 5807131827.

It is an interprime number because it is at equal distance from previous prime (72813170839) and next prime (72813170861).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24277651 + ... + 24280649.

It is an arithmetic number, because the mean of its divisors is an integer number (1132740000).

Almost surely, 2^72813170850 is an apocalyptic number.

72813170850 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 72813170850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108743040000).

72813170850 is an abundant number, since it is smaller than the sum of its proper divisors (144672909150).

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

72813170850 is a wasteful number, since it uses less digits than its factorization.

72813170850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4257 (or 4252 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 42.

The spelling of 72813170850 in words is "seventy-two billion, eight hundred thirteen million, one hundred seventy thousand, eight hundred fifty".