749376 has 42 divisors (see below), whose sum is σ = 2149602. Its totient is φ = 249600.

The previous prime is 749351. The next prime is 749383. The reversal of 749376 is 673947.

749376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 389376 + 360000 = 624^2 + 600^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 749376.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 749376.

It is an unprimeable number.

749376 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 5 ways as a sum of consecutive naturals, for example, 75 + ... + 1226.

It is an arithmetic number, because the mean of its divisors is an integer number (51181).

2⁷⁴⁹³⁷⁶ 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 749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074801).

749376 is an abundant number, since it is smaller than the sum of its proper divisors (1400226).

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

749376 is a wasteful number, since it uses less digits than its factorization.

749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1306 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 749376 is about 865.6650622498. The cubic root of 749376 is about 90.8308252447.

It can be divided in two parts, 7493 and 76, that added together give a square (7569 = 87²).

The spelling of 749376 in words is "seven hundred forty-nine thousand, three hundred seventy-six".