72495245721600 has 1920 divisors, whose sum is σ = 298667569052160. Its totient is φ = 17262968832000.

The previous prime is 72495245721541. The next prime is 72495245721629. The reversal of 72495245721600 is 612754259427.

It is a happy number.

72495245721600 is a `hidden beast` number, since 7 + 2 + 4 + 9 + 5 + 2 + 4 + 5 + 7 + 21 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26741144245 + ... + 26741146955.

It is an arithmetic number, because the mean of its divisors is an integer number (155556025548).

Almost surely, 2^{72495245721600} 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 72495245721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149333784526080).

72495245721600 is an abundant number, since it is smaller than the sum of its proper divisors (226172323330560).

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

72495245721600 is a wasteful number, since it uses less digits than its factorization.

72495245721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2807 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 72495245721600 in words is "seventy-two trillion, four hundred ninety-five billion, two hundred forty-five million, seven hundred twenty-one thousand, six hundred".