72245117698560 has 240 divisors, whose sum is σ = 250274624999256. Its totient is φ = 19260016164864.

The previous prime is 72245117698543. The next prime is 72245117698577. The reversal of 72245117698560 is 6589671154227.

It is a happy number.

72245117698560 is a `hidden beast` number, since 7 + 2 + 2 + 4 + 5 + 1 + 1 + 7 + 69 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (72245117698543) and next prime (72245117698577).

It can be written as a sum of positive squares in 4 ways, for example, as 36487205335296 + 35757912363264 = 6040464^2 + 5979792^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82902222 + ... + 83769138.

Almost surely, 2^{72245117698560} 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 72245117698560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125137312499628).

72245117698560 is an abundant number, since it is smaller than the sum of its proper divisors (178029507300696).

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

72245117698560 is a wasteful number, since it uses less digits than its factorization.

72245117698560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 870563 (or 870544 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 72245117698560 in words is "seventy-two trillion, two hundred forty-five billion, one hundred seventeen million, six hundred ninety-eight thousand, five hundred sixty".