72104252147856 has 160 divisors (see below), whose sum is σ = 209110796469120. Its totient is φ = 23785693618176.

The previous prime is 72104252147791. The next prime is 72104252147869. The reversal of 72104252147856 is 65874125240127.

72104252147856 is a `hidden beast` number, since 7 + 2 + 1 + 0 + 42 + 521 + 4 + 78 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1085825151 + ... + 1085891553.

It is an arithmetic number, because the mean of its divisors is an integer number (1306942477932).

Almost surely, 2^{72104252147856} 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 72104252147856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104555398234560).

72104252147856 is an abundant number, since it is smaller than the sum of its proper divisors (137006544321264).

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

72104252147856 is a wasteful number, since it uses less digits than its factorization.

72104252147856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92430 (or 92418 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 72104252147856 in words is "seventy-two trillion, one hundred four billion, two hundred fifty-two million, one hundred forty-seven thousand, eight hundred fifty-six".