709152 has 48 divisors (see below), whose sum is σ = 1905120. Its totient is φ = 230912.

The previous prime is 709151. The next prime is 709153. The reversal of 709152 is 251907.

It is an interprime number because it is at equal distance from previous prime (709151) and next prime (709153).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is not an unprimeable number, because it can be changed into a prime (709151) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7924 + ... + 8012.

It is an arithmetic number, because the mean of its divisors is an integer number (39690).

2⁷⁰⁹¹⁵² 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 709152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952560).

709152 is an abundant number, since it is smaller than the sum of its proper divisors (1195968).

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

709152 is a wasteful number, since it uses less digits than its factorization.

709152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 709152 is about 842.1116315549. Note that the first 3 decimals coincide. The cubic root of 709152 is about 89.1756829423.

It can be divided in two parts, 709 and 152, that added together give a triangular number (861 = T₄₁).

The spelling of 709152 in words is "seven hundred nine thousand, one hundred fifty-two".