72747460800 has 1680 divisors, whose sum is σ = 333387679680. Its totient is φ = 15182069760.

The previous prime is 72747460769. The next prime is 72747460801. The reversal of 72747460800 is 806474727.

72747460800 is a `hidden beast` number, since 72 + 7 + 47 + 460 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is not an unprimeable number, because it can be changed into a prime (72747460801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 817387156 + ... + 817387244.

Almost surely, 2^72747460800 is an apocalyptic number.

72747460800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72747460800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166693839840).

72747460800 is an abundant number, since it is smaller than the sum of its proper divisors (260640218880).

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

72747460800 is a wasteful number, since it uses less digits than its factorization.

72747460800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The spelling of 72747460800 in words is "seventy-two billion, seven hundred forty-seven million, four hundred sixty thousand, eight hundred".