72048438 has 96 divisors (see below), whose sum is σ = 196335360. Its totient is φ = 18550080.

The previous prime is 72048421. The next prime is 72048463. The reversal of 72048438 is 83484027.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314508 + ... + 314736.

It is an arithmetic number, because the mean of its divisors is an integer number (2045160).

Almost surely, 2^72048438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72048438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98167680).

72048438 is an abundant number, since it is smaller than the sum of its proper divisors (124286922).

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

72048438 is a wasteful number, since it uses less digits than its factorization.

72048438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 72048438 is about 8488.1351308753. The cubic root of 72048438 is about 416.1100354570.

The spelling of 72048438 in words is "seventy-two million, forty-eight thousand, four hundred thirty-eight".