72305888407147 has 8 divisors (see below), whose sum is σ = 72317624742000. Its totient is φ = 72294152684544.

The previous prime is 72305888407139. The next prime is 72305888407213. The reversal of 72305888407147 is 74170488850327.

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 72305888407147 - 2³ = 72305888407139 is a prime.

It is a super-3 number, since 3×72305888407147³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72305888407117) 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, 275362804 + ... + 275625262.

It is an arithmetic number, because the mean of its divisors is an integer number (9039703092750).

Almost surely, 2^{72305888407147} is an apocalyptic number.

72305888407147 is a deficient number, since it is larger than the sum of its proper divisors (11736334853).

72305888407147 is a wasteful number, since it uses less digits than its factorization.

72305888407147 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306125.

The product of its (nonzero) digits is 84295680, while the sum is 64.

The spelling of 72305888407147 in words is "seventy-two trillion, three hundred five billion, eight hundred eighty-eight million, four hundred seven thousand, one hundred forty-seven".