72891411201 has 48 divisors (see below), whose sum is σ = 121251596544. Its totient is φ = 41333680512.

The previous prime is 72891411181. The next prime is 72891411211. The reversal of 72891411201 is 10211419827.

It is not a de Polignac number, because 72891411201 - 2⁵ = 72891411169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72891411211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6064740 + ... + 6076746.

It is an arithmetic number, because the mean of its divisors is an integer number (2526074928).

Almost surely, 2^72891411201 is an apocalyptic number.

It is an amenable number.

72891411201 is a deficient number, since it is larger than the sum of its proper divisors (48360185343).

72891411201 is a wasteful number, since it uses less digits than its factorization.

72891411201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12750 (or 12747 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 72891411201 in words is "seventy-two billion, eight hundred ninety-one million, four hundred eleven thousand, two hundred one".