72849595104 has 384 divisors, whose sum is σ = 262771084800. Its totient is φ = 19304386560.

The previous prime is 72849595073. The next prime is 72849595157. The reversal of 72849595104 is 40159594827.

It is a happy number.

72849595104 is a `hidden beast` number, since 7 + 2 + 8 + 49 + 595 + 1 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2331972 + ... + 2363004.

It is an arithmetic number, because the mean of its divisors is an integer number (684299700).

Almost surely, 2^72849595104 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 72849595104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131385542400).

72849595104 is an abundant number, since it is smaller than the sum of its proper divisors (189921489696).

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

72849595104 is a wasteful number, since it uses less digits than its factorization.

72849595104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31095 (or 31081 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 72849595104 in words is "seventy-two billion, eight hundred forty-nine million, five hundred ninety-five thousand, one hundred four".