72292128 has 96 divisors (see below), whose sum is σ = 205027200. Its totient is φ = 22235136.

The previous prime is 72292111. The next prime is 72292133. The reversal of 72292128 is 82129227.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 63468 + ... + 64596.

It is an arithmetic number, because the mean of its divisors is an integer number (2135700).

Almost surely, 2^72292128 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 72292128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102513600).

72292128 is an abundant number, since it is smaller than the sum of its proper divisors (132735072).

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

72292128 is a wasteful number, since it uses less digits than its factorization.

72292128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1186 counting only the distinct ones).

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

The square root of 72292128 is about 8502.4777565131. The cubic root of 72292128 is about 416.5786449443.

The spelling of 72292128 in words is "seventy-two million, two hundred ninety-two thousand, one hundred twenty-eight".