72635580067801 has 27 divisors (see below), whose sum is σ = 74776765759549. Its totient is φ = 70555004937728.

The previous prime is 72635580067763. The next prime is 72635580067861. The reversal of 72635580067801 is 10876008553627.

It is a happy number.

The square root of 72635580067801 is 8522651.

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

It can be written as a sum of positive squares in 4 ways, for example, as 23401164375625 + 49234415692176 = 4837475^2 + 7016724^2 .

It is not a de Polignac number, because 72635580067801 - 2²³ = 72635571679193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72635580067861) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59684124345 + ... + 59684125561.

Almost surely, 2^{72635580067801} is an apocalyptic number.

72635580067801 is the 8522651-st square number.

72635580067801 is the 4261326-th centered octagonal number.

It is an amenable number.

72635580067801 is a deficient number, since it is larger than the sum of its proper divisors (2141185691748).

72635580067801 is an frugal number, since it uses more digits than its factorization.

72635580067801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 58.

The spelling of 72635580067801 in words is "seventy-two trillion, six hundred thirty-five billion, five hundred eighty million, sixty-seven thousand, eight hundred one".