72195491047680 has 10368 divisors, whose sum is σ = 397900358553600. Its totient is φ = 12173259571200.

The previous prime is 72195491047657. The next prime is 72195491047723. The reversal of 72195491047680 is 8674019459127.

72195491047680 is a `hidden beast` number, since 7 + 2 + 1 + 9 + 549 + 1 + 0 + 4 + 7 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 1016837902045 + ... + 1016837902115.

It is an arithmetic number, because the mean of its divisors is an integer number (38377735200).

Almost surely, 2^{72195491047680} is an apocalyptic number.

72195491047680 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72195491047680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198950179276800).

72195491047680 is an abundant number, since it is smaller than the sum of its proper divisors (325704867505920).

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

72195491047680 is a wasteful number, since it uses less digits than its factorization.

72195491047680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 72195491047680 in words is "seventy-two trillion, one hundred ninety-five billion, four hundred ninety-one million, forty-seven thousand, six hundred eighty".