748224 has 56 divisors (see below), whose sum is σ = 2204720. Its totient is φ = 248832.

The previous prime is 748219. The next prime is 748249. The reversal of 748224 is 422847.

748224 is nontrivially palindromic in base 11.

It is a Cunningham number, because it is equal to 865²-1.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

748224 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1512 + ... + 1944.

It is an arithmetic number, because the mean of its divisors is an integer number (39370).

2⁷⁴⁸²²⁴ 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 748224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1102360).

748224 is an abundant number, since it is smaller than the sum of its proper divisors (1456496).

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

748224 is a wasteful number, since it uses less digits than its factorization.

748224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 438 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 748224 is about 864.9994219651. Note that the first 3 decimals coincide. The cubic root of 748224 is about 90.7842572667.

The spelling of 748224 in words is "seven hundred forty-eight thousand, two hundred twenty-four".