10032572736 has 448 divisors, whose sum is σ = 33028128000. Its totient is φ = 2972712960.

The previous prime is 10032572663. The next prime is 10032572743. The reversal of 10032572736 is 63727523001.

10032572736 is a `hidden beast` number, since 10 + 0 + 3 + 2 + 572 + 73 + 6 = 666.

10032572736 is digitally balanced in base 2, 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10032572736.

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, 39037120 + ... + 39037376.

It is an arithmetic number, because the mean of its divisors is an integer number (73723500).

Almost surely, 2^10032572736 is an apocalyptic number.

10032572736 is a gapful number since it is divisible by the number (16) 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 10032572736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16514064000).

10032572736 is an abundant number, since it is smaller than the sum of its proper divisors (22995555264).

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

10032572736 is a wasteful number, since it uses less digits than its factorization.

10032572736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 10032572736 in words is "ten billion, thirty-two million, five hundred seventy-two thousand, seven hundred thirty-six".