739872 has 72 divisors (see below), whose sum is σ = 2411136. Its totient is φ = 210816.

The previous prime is 739861. The next prime is 739909. The reversal of 739872 is 278937.

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is a congruent number.

It is an unprimeable number.

739872 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1833 + ... + 2199.

It is an arithmetic number, because the mean of its divisors is an integer number (33488).

2⁷³⁹⁸⁷² is an apocalyptic number.

739872 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 739872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1205568).

739872 is an abundant number, since it is smaller than the sum of its proper divisors (1671264).

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

739872 is a wasteful number, since it uses less digits than its factorization.

739872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 379 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The square root of 739872 is about 860.1581249980. The cubic root of 739872 is about 90.4452015052.

The spelling of 739872 in words is "seven hundred thirty-nine thousand, eight hundred seventy-two".