72308399677920 has 1440 divisors, whose sum is σ = 300489801464160. Its totient is φ = 16325767987200.

The previous prime is 72308399677909. The next prime is 72308399677961. The reversal of 72308399677920 is 2977699380327.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 49833493195 + ... + 49833494645.

It is an arithmetic number, because the mean of its divisors is an integer number (208673473239).

Almost surely, 2^{72308399677920} is an apocalyptic number.

72308399677920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72308399677920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150244900732080).

72308399677920 is an abundant number, since it is smaller than the sum of its proper divisors (228181401786240).

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

72308399677920 is a wasteful number, since it uses less digits than its factorization.

72308399677920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2398 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 72308399677920 in words is "seventy-two trillion, three hundred eight billion, three hundred ninety-nine million, six hundred seventy-seven thousand, nine hundred twenty".