32722560 has 384 divisors, whose sum is σ = 133660800. Its totient is φ = 7299072.

The previous prime is 32722559. The next prime is 32722561. The reversal of 32722560 is 6522723.

32722560 is a `hidden beast` number, since 32 + 72 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (32722559) and next prime (32722561).

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (32722561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1422709 + ... + 1422731.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 2^32722560 is an apocalyptic number.

32722560 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 32722560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

32722560 is an abundant number, since it is smaller than the sum of its proper divisors (100938240).

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

32722560 is a wasteful number, since it uses less digits than its factorization.

32722560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 32722560 is about 5720.3636248057. The cubic root of 32722560 is about 319.8520149077.

It can be divided in two parts, 3272 and 2560, that added together give a cube (5832 = 18³).

The spelling of 32722560 in words is "thirty-two million, seven hundred twenty-two thousand, five hundred sixty".