6292972 has 36 divisors (see below), whose sum is σ = 12981864. Its totient is φ = 2661120.

The previous prime is 6292927. The next prime is 6292973. The reversal of 6292972 is 2792926.

It is a super-3 number, since 3×6292972³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6292973) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18847 + ... + 19177.

Almost surely, 2^6292972 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 6292972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6490932).

6292972 is an abundant number, since it is smaller than the sum of its proper divisors (6688892).

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

6292972 is a wasteful number, since it uses less digits than its factorization.

6292972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its digits is 27216, while the sum is 37.

The square root of 6292972 is about 2508.5796778257. The cubic root of 6292972 is about 184.6227716239.

It can be divided in two parts, 62929 and 72, that added together give a square (63001 = 251²).

The spelling of 6292972 in words is "six million, two hundred ninety-two thousand, nine hundred seventy-two".