32124672 has 108 divisors (see below), whose sum is σ = 94383744. Its totient is φ = 10506240.

The previous prime is 32124671. The next prime is 32124683. The reversal of 32124672 is 27642123.

It is a super-2 number, since 2×32124672² = 2063989102215168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32124671) 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 11 ways as a sum of consecutive naturals, for example, 168097 + ... + 168287.

Almost surely, 2^32124672 is an apocalyptic number.

32124672 is a gapful number since it is divisible by the number (32) 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 32124672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47191872).

32124672 is an abundant number, since it is smaller than the sum of its proper divisors (62259072).

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

32124672 is a wasteful number, since it uses less digits than its factorization.

32124672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 269 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 32124672 is about 5667.8630893839. The cubic root of 32124672 is about 317.8919770746.

Adding to 32124672 its reverse (27642123), we get a palindrome (59766795).

The spelling of 32124672 in words is "thirty-two million, one hundred twenty-four thousand, six hundred seventy-two".