18729252 has 96 divisors (see below), whose sum is σ = 51497600. Its totient is φ = 5878656.

The previous prime is 18729233. The next prime is 18729259. The reversal of 18729252 is 25292781.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (18729259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171774 + ... + 171882.

Almost surely, 2^18729252 is an apocalyptic number.

18729252 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 18729252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25748800).

18729252 is an abundant number, since it is smaller than the sum of its proper divisors (32768348).

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

18729252 is a wasteful number, since it uses less digits than its factorization.

18729252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 18729252 is about 4327.7305831117. The cubic root of 18729252 is about 265.5666148401.

It can be divided in two parts, 18729 and 252, that added together give a palindrome (18981).

The spelling of 18729252 in words is "eighteen million, seven hundred twenty-nine thousand, two hundred fifty-two".