32720625 has 80 divisors (see below), whose sum is σ = 69477760. Its totient is φ = 14904000.

The previous prime is 32720609. The next prime is 32720627. The reversal of 32720625 is 52602723.

32720625 is a `hidden beast` number, since 32 + 7 + 2 + 0 + 625 = 666.

It is not a de Polignac number, because 32720625 - 2⁴ = 32720609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32720627) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 117987 + ... + 118263.

It is an arithmetic number, because the mean of its divisors is an integer number (868472).

Almost surely, 2^32720625 is an apocalyptic number.

32720625 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

32720625 is an abundant number, since it is smaller than the sum of its proper divisors (36757135).

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

32720625 is an equidigital number, since it uses as much as digits as its factorization.

32720625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 292 counting only the distinct ones).

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

The square root of 32720625 is about 5720.1944897005. The cubic root of 32720625 is about 319.8457101254.

The spelling of 32720625 in words is "thirty-two million, seven hundred twenty thousand, six hundred twenty-five".