72438678 has 64 divisors (see below), whose sum is σ = 182515200. Its totient is φ = 21111840.

The previous prime is 72438643. The next prime is 72438689. The reversal of 72438678 is 87683427.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10623 + ... + 16053.

It is an arithmetic number, because the mean of its divisors is an integer number (2851800).

Almost surely, 2^72438678 is an apocalyptic number.

72438678 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72438678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91257600).

72438678 is an abundant number, since it is smaller than the sum of its proper divisors (110076522).

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

72438678 is a wasteful number, since it uses less digits than its factorization.

72438678 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5474 (or 5468 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 72438678 is about 8511.0914693710. The cubic root of 72438678 is about 416.8599498638.

The spelling of 72438678 in words is "seventy-two million, four hundred thirty-eight thousand, six hundred seventy-eight".