72427333667165 has 32 divisors (see below), whose sum is σ = 90013323638880. Its totient is φ = 55879464976384.

The previous prime is 72427333667153. The next prime is 72427333667191. The reversal of 72427333667165 is 56176633372427.

It can be written as a sum of positive squares in 16 ways, for example, as 11005049872996 + 61422283794169 = 3317386^2 + 7837237^2 .

It is a cyclic number.

It is not a de Polignac number, because 72427333667165 - 2²⁶ = 72427266558301 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72427333667098 and 72427333667107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1784915357 + ... + 1784955933.

It is an arithmetic number, because the mean of its divisors is an integer number (2812916363715).

Almost surely, 2^{72427333667165} is an apocalyptic number.

It is an amenable number.

72427333667165 is a deficient number, since it is larger than the sum of its proper divisors (17585989971715).

72427333667165 is a wasteful number, since it uses less digits than its factorization.

72427333667165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54481.

The product of its digits is 160030080, while the sum is 62.

The spelling of 72427333667165 in words is "seventy-two trillion, four hundred twenty-seven billion, three hundred thirty-three million, six hundred sixty-seven thousand, one hundred sixty-five".