6075972 has 144 divisors (see below), whose sum is σ = 19568640. Its totient is φ = 1609632.

The previous prime is 6075959. The next prime is 6076001. The reversal of 6075972 is 2795706.

6075972 is a `hidden beast` number, since 60 + 7 + 597 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 129253 + ... + 129299.

Almost surely, 2^6075972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6075972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784320).

6075972 is an abundant number, since it is smaller than the sum of its proper divisors (13492668).

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

6075972 is a wasteful number, since it uses less digits than its factorization.

6075972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 6075972 is about 2464.9486810074. The cubic root of 6075972 is about 182.4757908714.

It can be divided in two parts, 6075 and 972, that multiplied together give a square (5904900 = 2430²).

The spelling of 6075972 in words is "six million, seventy-five thousand, nine hundred seventy-two".