72158688 has 240 divisors, whose sum is σ = 251010144. Its totient is φ = 19906560.

The previous prime is 72158663. The next prime is 72158689. The reversal of 72158688 is 88685127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72158689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 743856 + ... + 743952.

Almost surely, 2^72158688 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 72158688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125505072).

72158688 is an abundant number, since it is smaller than the sum of its proper divisors (178851456).

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

72158688 is a wasteful number, since it uses less digits than its factorization.

72158688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 72158688 is about 8494.6270077032. The cubic root of 72158688 is about 416.3221739958.

The spelling of 72158688 in words is "seventy-two million, one hundred fifty-eight thousand, six hundred eighty-eight".