10072932496 has 45 divisors (see below), whose sum is σ = 21461216889. Its totient is φ = 4576598400.

The previous prime is 10072932491. The next prime is 10072932553. The reversal of 10072932496 is 69423927001.

The square root of 10072932496 is 100364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6058442896 + 4014489600 = 77836^2 + 63360^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10072932491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4414876 + ... + 4417156.

Almost surely, 2^10072932496 is an apocalyptic number.

10072932496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10072932496 is the 100364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10072932496

10072932496 is an abundant number, since it is smaller than the sum of its proper divisors (11388284393).

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

10072932496 is an frugal number, since it uses more digits than its factorization.

10072932496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

It can be divided in two parts, 100729 and 32496, that added together give a square (133225 = 365²).

The spelling of 10072932496 in words is "ten billion, seventy-two million, nine hundred thirty-two thousand, four hundred ninety-six".