72133888 has 36 divisors (see below), whose sum is σ = 150258528. Its totient is φ = 34496000.

The previous prime is 72133879. The next prime is 72133909. The reversal of 72133888 is 88833127.

It is a self number, because there is not a number n which added to its sum of digits gives 72133888.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238 + ... + 12013.

It is an arithmetic number, because the mean of its divisors is an integer number (4173848).

Almost surely, 2^72133888 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 72133888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75129264).

72133888 is an abundant number, since it is smaller than the sum of its proper divisors (78124640).

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

72133888 is a wasteful number, since it uses less digits than its factorization.

72133888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12290 (or 12276 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The square root of 72133888 is about 8493.1671359982. The cubic root of 72133888 is about 416.2744736968.

The spelling of 72133888 in words is "seventy-two million, one hundred thirty-three thousand, eight hundred eighty-eight".