72168448 has 88 divisors (see below), whose sum is σ = 162122400. Its totient is φ = 31825920.

The previous prime is 72168431. The next prime is 72168461. The reversal of 72168448 is 84486127.

It is a tau number, because it is divible by the number of its divisors (88).

It is a self number, because there is not a number n which added to its sum of digits gives 72168448.

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, 484278 + ... + 484426.

It is an arithmetic number, because the mean of its divisors is an integer number (1842300).

Almost surely, 2^72168448 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 72168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81061200).

72168448 is an abundant number, since it is smaller than the sum of its proper divisors (89953952).

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

72168448 is a wasteful number, since it uses less digits than its factorization.

72168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 205 counting only the distinct ones).

The product of its digits is 86016, while the sum is 40.

The square root of 72168448 is about 8495.2014690648. The cubic root of 72168448 is about 416.3409433745.

It can be divided in two parts, 721 and 68448, that added together give a square (69169 = 263²).

The spelling of 72168448 in words is "seventy-two million, one hundred sixty-eight thousand, four hundred forty-eight".