743688 has 64 divisors (see below), whose sum is σ = 2260800. Its totient is φ = 224640.

The previous prime is 743671. The next prime is 743689. The reversal of 743688 is 886347.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 743688.

It is not an unprimeable number, because it can be changed into a prime (743689) 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, 2220 + ... + 2532.

It is an arithmetic number, because the mean of its divisors is an integer number (35325).

2⁷⁴³⁶⁸⁸ 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 743688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130400).

743688 is an abundant number, since it is smaller than the sum of its proper divisors (1517112).

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

743688 is a wasteful number, since it uses less digits than its factorization.

743688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 329 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 743688 is about 862.3734689797. The cubic root of 743688 is about 90.6004298037.

It can be divided in two parts, 743 and 688, that added together give a triangular number (1431 = T₅₃).

The spelling of 743688 in words is "seven hundred forty-three thousand, six hundred eighty-eight".