6509972 has 12 divisors (see below), whose sum is σ = 13020000. Its totient is φ = 2789976.

The previous prime is 6509953. The next prime is 6509977. The reversal of 6509972 is 2799056.

6509972 is an admirable number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509977) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 116222 + ... + 116277.

It is an arithmetic number, because the mean of its divisors is an integer number (1085000).

Almost surely, 2^6509972 is an apocalyptic number.

It is an amenable number.

6509972 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

6509972 is a wasteful number, since it uses less digits than its factorization.

6509972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232510 (or 232508 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 38.

The square root of 6509972 is about 2551.4646773961. The cubic root of 6509972 is about 186.7209465163.

It can be divided in two parts, 650 and 9972, that multiplied together give a triangular number (6481800 = T₃₆₀₀).

The spelling of 6509972 in words is "six million, five hundred nine thousand, nine hundred seventy-two".