72898196136480 has 3240 divisors, whose sum is σ = 319920770132964. Its totient is φ = 15527863296000.

The previous prime is 72898196136433. The next prime is 72898196136481. The reversal of 72898196136480 is 8463169189827.

72898196136480 is a `hidden beast` number, since 7 + 2 + 8 + 9 + 8 + 1 + 9 + 6 + 136 + 480 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 524587312656 + 72373608823824 = 724284^2 + 8507268^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 72898196136399 and 72898196136408.

It is not an unprimeable number, because it can be changed into a prime (72898196136481) by changing a digit.

It is a polite number, since it can be written in 539 ways as a sum of consecutive naturals, for example, 1195052395650 + ... + 1195052395710.

Almost surely, 2^{72898196136480} 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 72898196136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159960385066482).

72898196136480 is an abundant number, since it is smaller than the sum of its proper divisors (247022573996484).

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

72898196136480 is a wasteful number, since it uses less digits than its factorization.

72898196136480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 72898196136480 in words is "seventy-two trillion, eight hundred ninety-eight billion, one hundred ninety-six million, one hundred thirty-six thousand, four hundred eighty".