72487324800 has 1152 divisors, whose sum is σ = 298488752640. Its totient is φ = 16727040000.

The previous prime is 72487324781. The next prime is 72487324817. The reversal of 72487324800 is 842378427.

72487324800 is a `hidden beast` number, since 7 + 248 + 7 + 324 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1188316770 + ... + 1188316830.

It is an arithmetic number, because the mean of its divisors is an integer number (259104820).

Almost surely, 2^72487324800 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 72487324800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149244376320).

72487324800 is an abundant number, since it is smaller than the sum of its proper divisors (226001427840).

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

72487324800 is a wasteful number, since it uses less digits than its factorization.

72487324800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 72487324800 in words is "seventy-two billion, four hundred eighty-seven million, three hundred twenty-four thousand, eight hundred".