72614619841 has 9 divisors (see below), whose sum is σ = 74640467811. Its totient is φ = 70642361592.

The previous prime is 72614619839. The next prime is 72614619877. The reversal of 72614619841 is 14891641627.

The square root of 72614619841 is 269471.

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., 64976559025 + 7638060816 = 254905^2 + 87396^2 .

It is not a de Polignac number, because 72614619841 - 2¹ = 72614619839 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72614619041) 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, 9966786 + ... + 9974068.

Almost surely, 2^72614619841 is an apocalyptic number.

72614619841 is the 269471-st square number.

72614619841 is the 134736-th centered octagonal number.

It is an amenable number.

72614619841 is a deficient number, since it is larger than the sum of its proper divisors (2025847970).

72614619841 is an frugal number, since it uses more digits than its factorization.

72614619841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14640 (or 7320 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

Multiplying 72614619841 by its sum of digits (49), we get a square (3558116372209 = 1886297²).

The spelling of 72614619841 in words is "seventy-two billion, six hundred fourteen million, six hundred nineteen thousand, eight hundred forty-one".