72849536100 has 216 divisors, whose sum is σ = 253325348640. Its totient is φ = 17361024000.

The previous prime is 72849536077. The next prime is 72849536117. The reversal of 72849536100 is 163594827.

72849536100 is a `hidden beast` number, since 7 + 2 + 8 + 4 + 9 + 536 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 521740 + ... + 646460.

It is an arithmetic number, because the mean of its divisors is an integer number (1172802540).

It is a 1-persistent number, because it is pandigital, but 2⋅72849536100 = 145699072200 is not.

Almost surely, 2^72849536100 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 72849536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126662674320).

72849536100 is an abundant number, since it is smaller than the sum of its proper divisors (180475812540).

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

72849536100 is a wasteful number, since it uses less digits than its factorization.

72849536100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124811 (or 124801 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 72849536100 in words is "seventy-two billion, eight hundred forty-nine million, five hundred thirty-six thousand, one hundred".