72839088 has 300 divisors, whose sum is σ = 259989312. Its totient is φ = 19595520.

The previous prime is 72839077. The next prime is 72839093. The reversal of 72839088 is 88093827.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1968606 + ... + 1968642.

Almost surely, 2^72839088 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 72839088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129994656).

72839088 is an abundant number, since it is smaller than the sum of its proper divisors (187150224).

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

72839088 is a wasteful number, since it uses less digits than its factorization.

72839088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 72839088 is about 8534.5818878256. The cubic root of 72839088 is about 417.6266134446.

It can be divided in two parts, 72 and 839088, that added together give a triangular number (839160 = T₁₂₉₅).

The spelling of 72839088 in words is "seventy-two million, eight hundred thirty-nine thousand, eighty-eight".