72678168 has 64 divisors (see below), whose sum is σ = 206208000. Its totient is φ = 23707296.

The previous prime is 72678161. The next prime is 72678169. The reversal of 72678168 is 86187627.

It is a super-2 number, since 2×72678168² = 10564232207672448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72678161) 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 15 ways as a sum of consecutive naturals, for example, 6573 + ... + 13731.

It is an arithmetic number, because the mean of its divisors is an integer number (3222000).

Almost surely, 2^72678168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72678168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103104000).

72678168 is an abundant number, since it is smaller than the sum of its proper divisors (133529832).

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

72678168 is a wasteful number, since it uses less digits than its factorization.

72678168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7211 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 72678168 is about 8525.1491482554. The cubic root of 72678168 is about 417.3188390161.

The spelling of 72678168 in words is "seventy-two million, six hundred seventy-eight thousand, one hundred sixty-eight".