72253209600 has 2112 divisors, whose sum is σ = 337733383680. Its totient is φ = 14863564800.

The previous prime is 72253209593. The next prime is 72253209601. The reversal of 72253209600 is 690235227.

72253209600 is a `hidden beast` number, since 7 + 2 + 25 + 3 + 20 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72253209601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1680307179 + ... + 1680307221.

It is an arithmetic number, because the mean of its divisors is an integer number (159911640).

Almost surely, 2^72253209600 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 72253209600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168866691840).

72253209600 is an abundant number, since it is smaller than the sum of its proper divisors (265480174080).

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

72253209600 is a wasteful number, since it uses less digits than its factorization.

72253209600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 72253209600 in words is "seventy-two billion, two hundred fifty-three million, two hundred nine thousand, six hundred".