10048572732 has 96 divisors (see below), whose sum is σ = 26503303680. Its totient is φ = 2935233280.

The previous prime is 10048572707. The next prime is 10048572733. The reversal of 10048572732 is 23727584001.

10048572732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10048572733) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2842438 + ... + 2845970.

It is an arithmetic number, because the mean of its divisors is an integer number (276076080).

Almost surely, 2^10048572732 is an apocalyptic number.

10048572732 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 10048572732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13251651840).

10048572732 is an abundant number, since it is smaller than the sum of its proper divisors (16454730948).

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

10048572732 is a wasteful number, since it uses less digits than its factorization.

10048572732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4323 (or 4321 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 10048572732 in words is "ten billion, forty-eight million, five hundred seventy-two thousand, seven hundred thirty-two".