72072734400 has 252 divisors, whose sum is σ = 256954415224. Its totient is φ = 19160064000.

The previous prime is 72072734341. The next prime is 72072734407. The reversal of 72072734400 is 443727027.

72072734400 is a `hidden beast` number, since 7 + 207 + 2 + 7 + 3 + 440 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (72072734407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4758840 + ... + 4773960.

Almost surely, 2^72072734400 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 72072734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128477207612).

72072734400 is an abundant number, since it is smaller than the sum of its proper divisors (184881680824).

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

72072734400 is a wasteful number, since it uses less digits than its factorization.

72072734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15480 (or 15462 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The spelling of 72072734400 in words is "seventy-two billion, seventy-two million, seven hundred thirty-four thousand, four hundred".