1729152 has 96 divisors (see below), whose sum is σ = 5304000. Its totient is φ = 539136.

The previous prime is 1729141. The next prime is 1729153. The reversal of 1729152 is 2519271.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (1729153) 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 11 ways as a sum of consecutive naturals, for example, 21849 + ... + 21927.

It is an arithmetic number, because the mean of its divisors is an integer number (55250).

2^1729152 is an apocalyptic number.

1729152 is a gapful number since it is divisible by the number (12) 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 1729152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652000).

1729152 is an abundant number, since it is smaller than the sum of its proper divisors (3574848).

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

1729152 is a wasteful number, since it uses less digits than its factorization.

1729152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its digits is 1260, while the sum is 27.

The square root of 1729152 is about 1314.9722430531. The cubic root of 1729152 is about 120.0266607429.

It can be divided in two parts, 1729 and 152, that added together give a palindrome (1881).

The spelling of 1729152 in words is "one million, seven hundred twenty-nine thousand, one hundred fifty-two".