72735410400 has 576 divisors, whose sum is σ = 255133670400. Its totient is φ = 17963008000.

The previous prime is 72735410389. The next prime is 72735410431. The reversal of 72735410400 is 401453727.

It is a congruent number.

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, 202605421 + ... + 202605779.

It is an arithmetic number, because the mean of its divisors is an integer number (442940400).

Almost surely, 2^72735410400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72735410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127566835200).

72735410400 is an abundant number, since it is smaller than the sum of its proper divisors (182398260000).

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

72735410400 is a wasteful number, since it uses less digits than its factorization.

72735410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The spelling of 72735410400 in words is "seventy-two billion, seven hundred thirty-five million, four hundred ten thousand, four hundred".