72946464927 has 32 divisors (see below), whose sum is σ = 112340613120. Its totient is φ = 41240275200.

The previous prime is 72946464859. The next prime is 72946464949.

72946464927 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72946464927 - 2¹¹ = 72946462879 is a prime.

It is a super-2 number, since 2×72946464927² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72946464967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3006099 + ... + 3030267.

It is an arithmetic number, because the mean of its divisors is an integer number (3510644160).

Almost surely, 2^72946464927 is an apocalyptic number.

72946464927 is a deficient number, since it is larger than the sum of its proper divisors (39394148193).

72946464927 is a wasteful number, since it uses less digits than its factorization.

72946464927 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25703.

The product of its digits is 36578304, while the sum is 60.

The spelling of 72946464927 in words is "seventy-two billion, nine hundred forty-six million, four hundred sixty-four thousand, nine hundred twenty-seven".