72707144400 has 960 divisors, whose sum is σ = 292857446400. Its totient is φ = 16982784000.

The previous prime is 72707144383. The next prime is 72707144407. The reversal of 72707144400 is 444170727.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72707144407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 572497137 + ... + 572497263.

It is an arithmetic number, because the mean of its divisors is an integer number (305059840).

Almost surely, 2^72707144400 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 72707144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146428723200).

72707144400 is an abundant number, since it is smaller than the sum of its proper divisors (220150302000).

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

72707144400 is a wasteful number, since it uses less digits than its factorization.

72707144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 36.

The spelling of 72707144400 in words is "seventy-two billion, seven hundred seven million, one hundred forty-four thousand, four hundred".