72391757372480 has 1008 divisors, whose sum is σ = 223544663284176. Its totient is φ = 22237936680960.

The previous prime is 72391757372449. The next prime is 72391757372531. The reversal of 72391757372480 is 8427375719327.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 60256344150016 + 12135413222464 = 7762496^2 + 3483592^2 .

It is a super-2 number, since 2×72391757372480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 64809092882 + ... + 64809093998.

Almost surely, 2^{72391757372480} is an apocalyptic number.

72391757372480 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 72391757372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111772331642088).

72391757372480 is an abundant number, since it is smaller than the sum of its proper divisors (151152905911696).

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

72391757372480 is a wasteful number, since it uses less digits than its factorization.

72391757372480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1842 counting only the distinct ones).

The product of its (nonzero) digits is 124467840, while the sum is 65.

The spelling of 72391757372480 in words is "seventy-two trillion, three hundred ninety-one billion, seven hundred fifty-seven million, three hundred seventy-two thousand, four hundred eighty".