72752302014016 has 63 divisors (see below), whose sum is σ = 145314644817297. Its totient is φ = 36139133372160.

The previous prime is 72752302014013. The next prime is 72752302014019. The reversal of 72752302014016 is 61041020325727.

The square root of 72752302014016 is 8529496.

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

It is an interprime number because it is at equal distance from previous prime (72752302014013) and next prime (72752302014019).

It can be written as a sum of positive squares in only one way, i.e., 21324815694400 + 51427486319616 = 4617880^2 + 7171296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72752302014016.

It is not an unprimeable number, because it can be changed into a prime (72752302014013) 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, 10713043581 + ... + 10713050371.

Almost surely, 2^{72752302014016} is an apocalyptic number.

72752302014016 is the 8529496-th square number.

It is an amenable number.

72752302014016 is a deficient number, since it is larger than the sum of its proper divisors (72562342803281).

72752302014016 is an frugal number, since it uses more digits than its factorization.

72752302014016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 72752302014016 in words is "seventy-two trillion, seven hundred fifty-two billion, three hundred two million, fourteen thousand, sixteen".