72233932982401 has 8 divisors (see below), whose sum is σ = 73405092301704. Its totient is φ = 71072105610240.

The previous prime is 72233932982383. The next prime is 72233932982429. The reversal of 72233932982401 is 10428923933227.

It can be written as a sum of positive squares in 4 ways, for example, as 3763603880001 + 68470329102400 = 1940001^2 + 8274680^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72233932982401 - 2¹⁷ = 72233932851329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72233932980401) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2332971180 + ... + 2333002141.

It is an arithmetic number, because the mean of its divisors is an integer number (9175636537713).

Almost surely, 2^{72233932982401} is an apocalyptic number.

It is an amenable number.

72233932982401 is a deficient number, since it is larger than the sum of its proper divisors (1171159319303).

72233932982401 is a wasteful number, since it uses less digits than its factorization.

72233932982401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665973571.

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 72233932982401 in words is "seventy-two trillion, two hundred thirty-three billion, nine hundred thirty-two million, nine hundred eighty-two thousand, four hundred one".