20580072 has 32 divisors (see below), whose sum is σ = 51928800. Its totient is φ = 6796224.

The previous prime is 20580067. The next prime is 20580089. The reversal of 20580072 is 27008502.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1318 + ... + 6549.

It is an arithmetic number, because the mean of its divisors is an integer number (1622775).

Almost surely, 2^20580072 is an apocalyptic number.

It is an amenable number.

20580072 is an abundant number, since it is smaller than the sum of its proper divisors (31348728).

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

20580072 is a wasteful number, since it uses less digits than its factorization.

20580072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7985 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 20580072 is about 4536.5264244794. The cubic root of 20580072 is about 274.0410544625.

Adding to 20580072 its reverse (27008502), we get a palindrome (47588574).

The spelling of 20580072 in words is "twenty million, five hundred eighty thousand, seventy-two".