72400221653760 has 2880 divisors, whose sum is σ = 351325190329344. Its totient is φ = 13747470336000.

The previous prime is 72400221653737. The next prime is 72400221653779. The reversal of 72400221653760 is 6735612200427.

72400221653760 is a `hidden beast` number, since 7 + 2 + 40 + 0 + 2 + 2 + 16 + 537 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10482148227 + ... + 10482155133.

Almost surely, 2^{72400221653760} is an apocalyptic number.

72400221653760 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 72400221653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175662595164672).

72400221653760 is an abundant number, since it is smaller than the sum of its proper divisors (278924968675584).

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

72400221653760 is a wasteful number, since it uses less digits than its factorization.

72400221653760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7072 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 72400221653760 in words is "seventy-two trillion, four hundred billion, two hundred twenty-one million, six hundred fifty-three thousand, seven hundred sixty".