72886128 has 160 divisors (see below), whose sum is σ = 232128000. Its totient is φ = 19643904.

The previous prime is 72886117. The next prime is 72886129. The reversal of 72886128 is 82168827.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 72886128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72886129) 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 31 ways as a sum of consecutive naturals, for example, 312700 + ... + 312932.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 2^72886128 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 72886128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116064000).

72886128 is an abundant number, since it is smaller than the sum of its proper divisors (159241872).

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

72886128 is a wasteful number, since it uses less digits than its factorization.

72886128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 264 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The square root of 72886128 is about 8537.3372898112. The cubic root of 72886128 is about 417.7164961754.

The spelling of 72886128 in words is "seventy-two million, eight hundred eighty-six thousand, one hundred twenty-eight".