72448938 has 64 divisors (see below), whose sum is σ = 170755200. Its totient is φ = 22705920.

The previous prime is 72448913. The next prime is 72448939. The reversal of 72448938 is 83984427.

It is a junction number, because it is equal to n+sod(n) for n = 72448893 and 72448902.

It is not an unprimeable number, because it can be changed into a prime (72448939) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247120 + ... + 247412.

It is an arithmetic number, because the mean of its divisors is an integer number (2668050).

Almost surely, 2^72448938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72448938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85377600).

72448938 is an abundant number, since it is smaller than the sum of its proper divisors (98306262).

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

72448938 is a wasteful number, since it uses less digits than its factorization.

72448938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 558 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 72448938 is about 8511.6941909352. The cubic root of 72448938 is about 416.8796298712.

The spelling of 72448938 in words is "seventy-two million, four hundred forty-eight thousand, nine hundred thirty-eight".