72971468 has 12 divisors (see below), whose sum is σ = 127851192. Its totient is φ = 36442560.

The previous prime is 72971461. The next prime is 72971501. The reversal of 72971468 is 86417927.

It is not an unprimeable number, because it can be changed into a prime (72971461) 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 3 ways as a sum of consecutive naturals, for example, 6830 + ... + 13877.

It is an arithmetic number, because the mean of its divisors is an integer number (10654266).

Almost surely, 2^72971468 is an apocalyptic number.

It is an amenable number.

72971468 is a deficient number, since it is larger than the sum of its proper divisors (54879724).

72971468 is a wasteful number, since it uses less digits than its factorization.

72971468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21592 (or 21590 counting only the distinct ones).

The product of its digits is 169344, while the sum is 44.

The square root of 72971468 is about 8542.3338731286. Note that the first 3 decimals coincide. The cubic root of 72971468 is about 417.8794628140.

The spelling of 72971468 in words is "seventy-two million, nine hundred seventy-one thousand, four hundred sixty-eight".