72868401 has 12 divisors (see below), whose sum is σ = 110794320. Its totient is φ = 46022040.

The previous prime is 72868399. The next prime is 72868403. The reversal of 72868401 is 10486827.

It is an interprime number because it is at equal distance from previous prime (72868399) and next prime (72868403).

It is not a de Polignac number, because 72868401 - 2¹ = 72868399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72868403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212895 + ... + 213236.

It is an arithmetic number, because the mean of its divisors is an integer number (9232860).

Almost surely, 2^72868401 is an apocalyptic number.

It is an amenable number.

72868401 is a deficient number, since it is larger than the sum of its proper divisors (37925919).

72868401 is a wasteful number, since it uses less digits than its factorization.

72868401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426156 (or 426153 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72868401 is about 8536.2990224101. The cubic root of 72868401 is about 417.6826284563.

The spelling of 72868401 in words is "seventy-two million, eight hundred sixty-eight thousand, four hundred one".