72646502400 has 432 divisors, whose sum is σ = 269854603200. Its totient is φ = 19369082880.

The previous prime is 72646502359. The next prime is 72646502443. The reversal of 72646502400 is 420564627.

72646502400 is a `hidden beast` number, since 7 + 2 + 646 + 5 + 0 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12438681 + ... + 12444519.

Almost surely, 2^72646502400 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 72646502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134927301600).

72646502400 is an abundant number, since it is smaller than the sum of its proper divisors (197208100800).

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

72646502400 is an equidigital number, since it uses as much as digits as its factorization.

72646502400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5886 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 72646502400 in words is "seventy-two billion, six hundred forty-six million, five hundred two thousand, four hundred".