72132051745 has 8 divisors (see below), whose sum is σ = 93216805416. Its totient is φ = 53266745856.

The previous prime is 72132051743. The next prime is 72132051751. The reversal of 72132051745 is 54715023127.

It can be written as a sum of positive squares in 4 ways, for example, as 4633933329 + 67498118416 = 68073^2 + 259804^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72132051745 - 2¹ = 72132051743 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72132051743) 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 7 ways as a sum of consecutive naturals, for example, 554861872 + ... + 554862001.

It is an arithmetic number, because the mean of its divisors is an integer number (11652100677).

Almost surely, 2^72132051745 is an apocalyptic number.

It is an amenable number.

72132051745 is a deficient number, since it is larger than the sum of its proper divisors (21084753671).

72132051745 is a wasteful number, since it uses less digits than its factorization.

72132051745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109723891.

The product of its (nonzero) digits is 58800, while the sum is 37.

The spelling of 72132051745 in words is "seventy-two billion, one hundred thirty-two million, fifty-one thousand, seven hundred forty-five".