72750722212440 has 192 divisors, whose sum is σ = 242399114848800. Its totient is φ = 18911978956800.

The previous prime is 72750722212417. The next prime is 72750722212459. The reversal of 72750722212440 is 4421222705727.

72750722212440 is a `hidden beast` number, since 72 + 7 + 50 + 72 + 2 + 21 + 2 + 440 = 666.

It is a super-2 number, since 2×72750722212440² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 16625370 + ... + 20540310.

Almost surely, 2^{72750722212440} 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 72750722212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121199557424400).

72750722212440 is an abundant number, since it is smaller than the sum of its proper divisors (169648392636360).

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

72750722212440 is a wasteful number, since it uses less digits than its factorization.

72750722212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916258 (or 3916251 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 45.

The spelling of 72750722212440 in words is "seventy-two trillion, seven hundred fifty billion, seven hundred twenty-two million, two hundred twelve thousand, four hundred forty".