72983164254 has 192 divisors, whose sum is σ = 200277729792. Its totient is φ = 17123040000.

The previous prime is 72983164213. The next prime is 72983164259. The reversal of 72983164254 is 45246138927.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72983164197 and 72983164206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72983164259) 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, 13264504 + ... + 13270004.

It is an arithmetic number, because the mean of its divisors is an integer number (1043113176).

Almost surely, 2^72983164254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72983164254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100138864896).

72983164254 is an abundant number, since it is smaller than the sum of its proper divisors (127294565538).

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

72983164254 is a wasteful number, since it uses less digits than its factorization.

72983164254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5631 (or 5584 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 72983164254 in words is "seventy-two billion, nine hundred eighty-three million, one hundred sixty-four thousand, two hundred fifty-four".