72302820327 has 24 divisors (see below), whose sum is σ = 104899813200. Its totient is φ = 47988920448.

The previous prime is 72302820319. The next prime is 72302820347.

72302820327 is a `hidden beast` number, since 7 + 2 + 302 + 8 + 20 + 327 = 666.

72302820327 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72302820327 - 2³ = 72302820319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72302820291 and 72302820300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72302820347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922233 + ... + 1959485.

It is an arithmetic number, because the mean of its divisors is an integer number (4370825550).

Almost surely, 2^72302820327 is an apocalyptic number.

72302820327 is a deficient number, since it is larger than the sum of its proper divisors (32596992873).

72302820327 is a wasteful number, since it uses less digits than its factorization.

72302820327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38207 (or 38204 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 72302820327 in words is "seventy-two billion, three hundred two million, eight hundred twenty thousand, three hundred twenty-seven".