742224 has 60 divisors (see below), whose sum is σ = 2238944. Its totient is φ = 207552.

The previous prime is 742219. The next prime is 742229. The reversal of 742224 is 422247.

742224 = T₄₅₇ + T₄₅₈ + ... + T₄₆₃.

It is an interprime number because it is at equal distance from previous prime (742219) and next prime (742229).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (896) is a multiple of the sum of its prime factors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 742224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742229) by changing a digit.

742224 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 11 ways as a sum of consecutive naturals, for example, 15769 + ... + 15815.

2⁷⁴²²²⁴ 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 742224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119472).

742224 is an abundant number, since it is smaller than the sum of its proper divisors (1496720).

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

742224 is a wasteful number, since it uses less digits than its factorization.

742224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 59 counting only the distinct ones).

The product of its digits is 896, while the sum is 21.

The square root of 742224 is about 861.5242306517. The cubic root of 742224 is about 90.5409397304.

Multiplying 742224 by its sum of digits (21), we get a square (15586704 = 3948²).

742224 divided by its sum of digits (21) gives a square (35344 = 188²).

The spelling of 742224 in words is "seven hundred forty-two thousand, two hundred twenty-four", and thus it is an iban number.