72246128 has 40 divisors (see below), whose sum is σ = 147231648. Its totient is φ = 34276352.

The previous prime is 72246071. The next prime is 72246131. The reversal of 72246128 is 82164227.

It is a junction number, because it is equal to n+sod(n) for n = 72246094 and 72246103.

It is a congruent number.

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, 49700 + ... + 51132.

Almost surely, 2^72246128 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 72246128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73615824).

72246128 is an abundant number, since it is smaller than the sum of its proper divisors (74985520).

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

72246128 is a wasteful number, since it uses less digits than its factorization.

72246128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1595 counting only the distinct ones).

The product of its digits is 10752, while the sum is 32.

The square root of 72246128 is about 8499.7722322425. The cubic root of 72246128 is about 416.4902688695.

The spelling of 72246128 in words is "seventy-two million, two hundred forty-six thousand, one hundred twenty-eight".