72153701995104 has 480 divisors, whose sum is σ = 226419521771520. Its totient is φ = 22488164379648.

The previous prime is 72153701995103. The next prime is 72153701995117. The reversal of 72153701995104 is 40159910735127.

72153701995104 is a `hidden beast` number, since 7 + 2 + 1 + 5 + 37 + 0 + 1 + 99 + 510 + 4 = 666.

72153701995104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153701995103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2322802677 + ... + 2322833739.

It is an arithmetic number, because the mean of its divisors is an integer number (471707337024).

Almost surely, 2^{72153701995104} 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 72153701995104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113209760885760).

72153701995104 is an abundant number, since it is smaller than the sum of its proper divisors (154265819776416).

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

72153701995104 is a wasteful number, since it uses less digits than its factorization.

72153701995104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31984 (or 31967 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 72153701995104 in words is "seventy-two trillion, one hundred fifty-three billion, seven hundred one million, nine hundred ninety-five thousand, one hundred four".