725274 has 60 divisors (see below), whose sum is σ = 1834602. Its totient is φ = 213840.

The previous prime is 725273. The next prime is 725293. The reversal of 725274 is 472527.

It can be written as a sum of positive squares in only one way, i.e., 480249 + 245025 = 693^2 + 495^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (725273) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 19584 + ... + 19620.

2⁷²⁵²⁷⁴ is an apocalyptic number.

725274 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 725274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917301).

725274 is an abundant number, since it is smaller than the sum of its proper divisors (1109328).

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

725274 is a wasteful number, since it uses less digits than its factorization.

725274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 53 counting only the distinct ones).

The product of its digits is 3920, while the sum is 27.

The square root of 725274 is about 851.6302014372. The cubic root of 725274 is about 89.8464046878.

725274 divided by its sum of digits (27) gives a palindrome (26862).

It can be divided in two parts, 725 and 274, that added together give a palindrome (999).

The spelling of 725274 in words is "seven hundred twenty-five thousand, two hundred seventy-four".