32730720 has 96 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 7933440.

The previous prime is 32730707. The next prime is 32730739. The reversal of 32730720 is 2703723.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2181 + ... + 8379.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 2^32730720 is an apocalyptic number.

32730720 is a gapful number since it is divisible by the number (30) 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 32730720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

32730720 is an abundant number, since it is smaller than the sum of its proper divisors (79762080).

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

32730720 is a wasteful number, since it uses less digits than its factorization.

32730720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6228 (or 6220 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 32730720 is about 5721.0768217181. The cubic root of 32730720 is about 319.8785997829.

The spelling of 32730720 in words is "thirty-two million, seven hundred thirty thousand, seven hundred twenty".