72872128 has 112 divisors (see below), whose sum is σ = 175564800. Its totient is φ = 29352960.

The previous prime is 72872117. The next prime is 72872131. The reversal of 72872128 is 82127827.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 922393 + ... + 922471.

Almost surely, 2^72872128 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 72872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87782400).

72872128 is an abundant number, since it is smaller than the sum of its proper divisors (102692672).

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

72872128 is a wasteful number, since it uses less digits than its factorization.

72872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 188 counting only the distinct ones).

The product of its digits is 25088, while the sum is 37.

The square root of 72872128 is about 8536.5173226557. The cubic root of 72872128 is about 417.6897494058.

The spelling of 72872128 in words is "seventy-two million, eight hundred seventy-two thousand, one hundred twenty-eight".