744072 has 64 divisors (see below), whose sum is σ = 2196480. Its totient is φ = 205632.

The previous prime is 744071. The next prime is 744077. The reversal of 744072 is 270447.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 744072.

It is not an unprimeable number, because it can be changed into a prime (744071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7173 + ... + 7275.

It is an arithmetic number, because the mean of its divisors is an integer number (34320).

2⁷⁴⁴⁰⁷² 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 744072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098240).

744072 is an abundant number, since it is smaller than the sum of its proper divisors (1452408).

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

744072 is a wasteful number, since it uses less digits than its factorization.

744072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 744072 is about 862.5960816048. The cubic root of 744072 is about 90.6160208305.

The spelling of 744072 in words is "seven hundred forty-four thousand, seventy-two", and thus it is an iban number.