72715427340 has 192 divisors, whose sum is σ = 211642368000. Its totient is φ = 18639258624.

The previous prime is 72715427329. The next prime is 72715427363. The reversal of 72715427340 is 4372451727.

It is a junction number, because it is equal to n+sod(n) for n = 72715427292 and 72715427301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98396691 + ... + 98397429.

It is an arithmetic number, because the mean of its divisors is an integer number (1102304000).

Almost surely, 2^72715427340 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 72715427340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105821184000).

72715427340 is an abundant number, since it is smaller than the sum of its proper divisors (138926940660).

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

72715427340 is a wasteful number, since it uses less digits than its factorization.

72715427340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 42.

The spelling of 72715427340 in words is "seventy-two billion, seven hundred fifteen million, four hundred twenty-seven thousand, three hundred forty".