7345152 has 66 divisors (see below), whose sum is σ = 21235578. Its totient is φ = 2445312.

The previous prime is 7345147. The next prime is 7345181. The reversal of 7345152 is 2515437.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6230016 + 1115136 = 2496^2 + 1056^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8818 + ... + 9614.

Almost surely, 2^7345152 is an apocalyptic number.

7345152 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 7345152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617789).

7345152 is an abundant number, since it is smaller than the sum of its proper divisors (13890426).

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

7345152 is a wasteful number, since it uses less digits than its factorization.

7345152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 802 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 7345152 is about 2710.1940889907. The cubic root of 7345152 is about 194.3868710333.

It can be divided in two parts, 734 and 5152, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 7345152 in words is "seven million, three hundred forty-five thousand, one hundred fifty-two".