32672000 has 72 divisors (see below), whose sum is σ = 81469752. Its totient is φ = 13056000.

The previous prime is 32671997. The next prime is 32672023. The reversal of 32672000 is 27623.

It can be written as a sum of positive squares in 4 ways, for example, as 952576 + 31719424 = 976^2 + 5632^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31490 + ... + 32510.

Almost surely, 2^32672000 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 32672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40734876).

32672000 is an abundant number, since it is smaller than the sum of its proper divisors (48797752).

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

32672000 is an equidigital number, since it uses as much as digits as its factorization.

32672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 20.

The square root of 32672000 is about 5715.9426169268. The cubic root of 32672000 is about 319.6871943265.

Adding to 32672000 its reverse (27623), we get a palindrome (32699623).

The spelling of 32672000 in words is "thirty-two million, six hundred seventy-two thousand".