72468138 has 32 divisors (see below), whose sum is σ = 149230080. Its totient is φ = 23451120.

The previous prime is 72468131. The next prime is 72468139. The reversal of 72468138 is 83186427.

It is a junction number, because it is equal to n+sod(n) for n = 72468096 and 72468105.

It is not an unprimeable number, because it can be changed into a prime (72468131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27273 + ... + 29811.

It is an arithmetic number, because the mean of its divisors is an integer number (4663440).

Almost surely, 2^72468138 is an apocalyptic number.

72468138 is an abundant number, since it is smaller than the sum of its proper divisors (76761942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72468138 is a wasteful number, since it uses less digits than its factorization.

72468138 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2682.

The product of its digits is 64512, while the sum is 39.

The square root of 72468138 is about 8512.8219762896. The cubic root of 72468138 is about 416.9164529642.

The spelling of 72468138 in words is "seventy-two million, four hundred sixty-eight thousand, one hundred thirty-eight".