32972723027344 has 45 divisors (see below), whose sum is σ = 64093017140481. Its totient is φ = 16432763930880.

The previous prime is 32972723027317. The next prime is 32972723027347. The reversal of 32972723027344 is 44372032727923.

The square root of 32972723027344 is 5742188.

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., 379037235600 + 32593685791744 = 615660^2 + 5709088^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (32972723027347) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7602654744 + ... + 7602659080.

Almost surely, 2^{32972723027344} is an apocalyptic number.

32972723027344 is the 5742188-th square number.

It is an amenable number.

32972723027344 is a deficient number, since it is larger than the sum of its proper divisors (31120294113137).

32972723027344 is an frugal number, since it uses more digits than its factorization.

32972723027344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9344 (or 4670 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 55.

The spelling of 32972723027344 in words is "thirty-two trillion, nine hundred seventy-two billion, seven hundred twenty-three million, twenty-seven thousand, three hundred forty-four".