6129072 has 60 divisors (see below), whose sum is σ = 17719104. Its totient is φ = 1975680.

The previous prime is 6129059. The next prime is 6129073. The reversal of 6129072 is 2709216.

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (6129073) 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 11 ways as a sum of consecutive naturals, for example, 3778 + ... + 5150.

Almost surely, 2^6129072 is an apocalyptic number.

6129072 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6129072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8859552).

6129072 is an abundant number, since it is smaller than the sum of its proper divisors (11590032).

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

6129072 is a wasteful number, since it uses less digits than its factorization.

6129072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 6129072 is about 2475.6962656998. The cubic root of 6129072 is about 183.0058226222.

The spelling of 6129072 in words is "six million, one hundred twenty-nine thousand, seventy-two".