741744 has 80 divisors (see below), whose sum is σ = 2276640. Its totient is φ = 230400.

The previous prime is 741721. The next prime is 741781. The reversal of 741744 is 447147.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

741744 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 15 ways as a sum of consecutive naturals, for example, 7294 + ... + 7394.

It is an arithmetic number, because the mean of its divisors is an integer number (28458).

2⁷⁴¹⁷⁴⁴ 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 741744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1138320).

741744 is an abundant number, since it is smaller than the sum of its proper divisors (1534896).

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

741744 is a wasteful number, since it uses less digits than its factorization.

741744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 123 counting only the distinct ones).

The product of its digits is 3136, while the sum is 27.

The square root of 741744 is about 861.2456095679. The cubic root of 741744 is about 90.5214177609.

741744 divided by its sum of digits (27) gives a palindrome (27472).

It can be divided in two parts, 741 and 744, that added together give a triangular number (1485 = T₅₄).

The spelling of 741744 in words is "seven hundred forty-one thousand, seven hundred forty-four", and thus it is an iban number.