72598848 has 112 divisors (see below), whose sum is σ = 231160320. Its totient is φ = 19643904.

The previous prime is 72598831. The next prime is 72598853. The reversal of 72598848 is 84889527.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 72598848.

It is a congruent number.

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, 24115 + ... + 26957.

Almost surely, 2^72598848 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 72598848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115580160).

72598848 is an abundant number, since it is smaller than the sum of its proper divisors (158561472).

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

72598848 is a wasteful number, since it uses less digits than its factorization.

72598848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2874 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 72598848 is about 8520.4957602243. The cubic root of 72598848 is about 417.1669649812.

The spelling of 72598848 in words is "seventy-two million, five hundred ninety-eight thousand, eight hundred forty-eight".