72098446386240 has 896 divisors, whose sum is σ = 280496837836800. Its totient is φ = 17363616399360.

The previous prime is 72098446386151. The next prime is 72098446386251. The reversal of 72098446386240 is 4268364489027.

72098446386240 is a `hidden beast` number, since 7 + 2 + 0 + 9 + 8 + 4 + 4 + 6 + 386 + 240 = 666.

It is a super-2 number, since 2×72098446386240² (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 127 ways as a sum of consecutive naturals, for example, 340854592 + ... + 341066048.

Almost surely, 2^{72098446386240} 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 72098446386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140248418918400).

72098446386240 is an abundant number, since it is smaller than the sum of its proper divisors (208398391450560).

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

72098446386240 is a wasteful number, since it uses less digits than its factorization.

72098446386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211600 (or 211584 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

The spelling of 72098446386240 in words is "seventy-two trillion, ninety-eight billion, four hundred forty-six million, three hundred eighty-six thousand, two hundred forty".