72698146842240 has 1536 divisors, whose sum is σ = 275178666528000. Its totient is φ = 18124325683200.

The previous prime is 72698146842143. The next prime is 72698146842281. The reversal of 72698146842240 is 4224864189627.

It is a happy number.

72698146842240 is a `hidden beast` number, since 7 + 2 + 6 + 98 + 1 + 468 + 42 + 2 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 109982067510 + ... + 109982068170.

Almost surely, 2^{72698146842240} 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 72698146842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137589333264000).

72698146842240 is an abundant number, since it is smaller than the sum of its proper divisors (202480519685760).

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

72698146842240 is a wasteful number, since it uses less digits than its factorization.

72698146842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 72698146842240 in words is "seventy-two trillion, six hundred ninety-eight billion, one hundred forty-six million, eight hundred forty-two thousand, two hundred forty".