72174128 has 40 divisors (see below), whose sum is σ = 153458928. Its totient is φ = 32677632.

The previous prime is 72174119. The next prime is 72174133. The reversal of 72174128 is 82147127.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72174094 and 72174103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7751 + ... + 14297.

Almost surely, 2^72174128 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 72174128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76729464).

72174128 is an abundant number, since it is smaller than the sum of its proper divisors (81284800).

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

72174128 is a wasteful number, since it uses less digits than its factorization.

72174128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6621 (or 6615 counting only the distinct ones).

The product of its digits is 6272, while the sum is 32.

The square root of 72174128 is about 8495.5357688612. The cubic root of 72174128 is about 416.3518657586.

The spelling of 72174128 in words is "seventy-two million, one hundred seventy-four thousand, one hundred twenty-eight".