72870044400 has 360 divisors, whose sum is σ = 279401447520. Its totient is φ = 17493442560.

The previous prime is 72870044399. The next prime is 72870044407. The reversal of 72870044400 is 444007827.

It is a tau number, because it is divible by the number of its divisors (360).

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 (72870044407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1381716 + ... + 1433484.

It is an arithmetic number, because the mean of its divisors is an integer number (776115132).

Almost surely, 2^72870044400 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 72870044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139700723760).

72870044400 is an abundant number, since it is smaller than the sum of its proper divisors (206531403120).

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

72870044400 is a wasteful number, since it uses less digits than its factorization.

72870044400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51833 (or 51819 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The spelling of 72870044400 in words is "seventy-two billion, eight hundred seventy million, forty-four thousand, four hundred".