72616128 has 112 divisors (see below), whose sum is σ = 211653120. Its totient is φ = 21832704.

The previous prime is 72616123. The next prime is 72616139. The reversal of 72616128 is 82161627.

It is not an unprimeable number, because it can be changed into a prime (72616123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117003 + ... + 117621.

It is an arithmetic number, because the mean of its divisors is an integer number (1889760).

Almost surely, 2^72616128 is an apocalyptic number.

72616128 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72616128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105826560).

72616128 is an abundant number, since it is smaller than the sum of its proper divisors (139036992).

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

72616128 is a wasteful number, since it uses less digits than its factorization.

72616128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 684 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 72616128 is about 8521.5097253949. The cubic root of 72616128 is about 417.2000604250.

The spelling of 72616128 in words is "seventy-two million, six hundred sixteen thousand, one hundred twenty-eight".