18525600072 has 320 divisors, whose sum is σ = 60857153280. Its totient is φ = 5155757568.

The previous prime is 18525600061. The next prime is 18525600073. The reversal of 18525600072 is 27000652581.

It is a happy number.

18525600072 is a `hidden beast` number, since 1 + 8 + 525 + 60 + 0 + 0 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (18525600073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63227158 + ... + 63227450.

It is an arithmetic number, because the mean of its divisors is an integer number (190178604).

Almost surely, 2^18525600072 is an apocalyptic number.

18525600072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18525600072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30428576640).

18525600072 is an abundant number, since it is smaller than the sum of its proper divisors (42331553208).

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

18525600072 is a wasteful number, since it uses less digits than its factorization.

18525600072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 18525600072 in words is "eighteen billion, five hundred twenty-five million, six hundred thousand, seventy-two".