72038822883027 has 96 divisors (see below), whose sum is σ = 129959725378560. Its totient is φ = 34539275232000.

The previous prime is 72038822882959. The next prime is 72038822883103.

72038822883027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72038822883027 - 2⁸ = 72038822882771 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72038822883227) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242677249 + ... + 242973917.

It is an arithmetic number, because the mean of its divisors is an integer number (1353747139360).

Almost surely, 2^{72038822883027} is an apocalyptic number.

72038822883027 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

72038822883027 is a deficient number, since it is larger than the sum of its proper divisors (57920902495533).

72038822883027 is a wasteful number, since it uses less digits than its factorization.

72038822883027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304065 (or 304054 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 60.

The spelling of 72038822883027 in words is "seventy-two trillion, thirty-eight billion, eight hundred twenty-two million, eight hundred eighty-three thousand, twenty-seven".