72414995809440 has 192 divisors, whose sum is σ = 230172889838976. Its totient is φ = 19135865290752.

The previous prime is 72414995809439. The next prime is 72414995809463. The reversal of 72414995809440 is 4490859941427.

It is a super-2 number, since 2×72414995809440² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 270361024 + ... + 270628736.

It is an arithmetic number, because the mean of its divisors is an integer number (1198817134578).

Almost surely, 2^{72414995809440} 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 72414995809440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115086444919488).

72414995809440 is an abundant number, since it is smaller than the sum of its proper divisors (157757894029536).

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

72414995809440 is a wasteful number, since it uses less digits than its factorization.

72414995809440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272831 (or 272823 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 72414995809440 in words is "seventy-two trillion, four hundred fourteen billion, nine hundred ninety-five million, eight hundred nine thousand, four hundred forty".