724152 has 64 divisors (see below), whose sum is σ = 2136960. Its totient is φ = 201600.

The previous prime is 724123. The next prime is 724153. The reversal of 724152 is 251427.

It is a super-2 number, since 2×724152² = 1048792238208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (724153) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3327 + ... + 3537.

It is an arithmetic number, because the mean of its divisors is an integer number (33390).

2⁷²⁴¹⁵² 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 724152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068480).

724152 is an abundant number, since it is smaller than the sum of its proper divisors (1412808).

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

724152 is a wasteful number, since it uses less digits than its factorization.

724152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 240 counting only the distinct ones).

The product of its digits is 560, while the sum is 21.

The square root of 724152 is about 850.9712098538. The cubic root of 724152 is about 89.8000499336.

Adding to 724152 its reverse (251427), we get a palindrome (975579).

It can be divided in two parts, 72 and 4152, that added together give a palindrome (4224).

The spelling of 724152 in words is "seven hundred twenty-four thousand, one hundred fifty-two".