72616831445601 has 21 divisors (see below), whose sum is σ = 108875786351619. Its totient is φ = 48411067575816.

The previous prime is 72616831445591. The next prime is 72616831445611. The reversal of 72616831445601 is 10654413861627.

The square root of 72616831445601 is 8521551.

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

72616831445601 is a `hidden beast` number, since 7 + 2 + 6 + 1 + 6 + 8 + 31 + 44 + 560 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (72616831445591) and next prime (72616831445611).

It can be written as a sum of positive squares in only one way, i.e., 28719899219025 + 43896932226576 = 5359095^2 + 6625476^2 .

It is not a de Polignac number, because 72616831445601 - 2²⁹ = 72616294574689 is a prime.

It is a super-3 number, since 3×72616831445601³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (72616831445611) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 229924071 + ... + 230239683.

It is an arithmetic number, because the mean of its divisors is an integer number (5184561254839).

Almost surely, 2^{72616831445601} is an apocalyptic number.

72616831445601 is the 8521551-st square number.

72616831445601 is the 4260776-th centered octagonal number.

It is an amenable number.

72616831445601 is a deficient number, since it is larger than the sum of its proper divisors (36258954906018).

72616831445601 is an frugal number, since it uses more digits than its factorization.

72616831445601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631244 (or 315616 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 72616831445601 in words is "seventy-two trillion, six hundred sixteen billion, eight hundred thirty-one million, four hundred forty-five thousand, six hundred one".