72381602700 has 288 divisors, whose sum is σ = 259253406720. Its totient is φ = 17173382400.

The previous prime is 72381602693. The next prime is 72381602731. The reversal of 72381602700 is 720618327.

72381602700 is a `hidden beast` number, since 7 + 2 + 381 + 6 + 0 + 270 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1369974 + ... + 1421826.

It is an arithmetic number, because the mean of its divisors is an integer number (900185440).

Almost surely, 2^72381602700 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 72381602700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129626703360).

72381602700 is an abundant number, since it is smaller than the sum of its proper divisors (186871804020).

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

72381602700 is a wasteful number, since it uses less digits than its factorization.

72381602700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51934 (or 51921 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 72381602700 in words is "seventy-two billion, three hundred eighty-one million, six hundred two thousand, seven hundred".