72014749200 has 180 divisors, whose sum is σ = 250043147380. Its totient is φ = 19193794560.

The previous prime is 72014749159. The next prime is 72014749217. The reversal of 72014749200 is 294741027.

72014749200 is a `hidden beast` number, since 7 + 20 + 147 + 492 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 8528891904 + 63485857296 = 92352^2 + 251964^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×72014749200² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8898756 + ... + 8906844.

Almost surely, 2^72014749200 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 72014749200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125021573690).

72014749200 is an abundant number, since it is smaller than the sum of its proper divisors (178028398180).

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

72014749200 is a wasteful number, since it uses less digits than its factorization.

72014749200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10586 (or 10572 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72014749200 in words is "seventy-two billion, fourteen million, seven hundred forty-nine thousand, two hundred".