72853862400 has 720 divisors, whose sum is σ = 294549975720. Its totient is φ = 17650483200.

The previous prime is 72853862369. The next prime is 72853862401. The reversal of 72853862400 is 426835827.

72853862400 is a `hidden beast` number, since 7 + 28 + 5 + 386 + 240 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72853862401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 45618402 + ... + 45619998.

Almost surely, 2^72853862400 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 72853862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147274987860).

72853862400 is an abundant number, since it is smaller than the sum of its proper divisors (221696113320).

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

72853862400 is a wasteful number, since it uses less digits than its factorization.

72853862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 72853862400 in words is "seventy-two billion, eight hundred fifty-three million, eight hundred sixty-two thousand, four hundred".