53829072 has 120 divisors (see below), whose sum is σ = 174096000. Its totient is φ = 15344640.

The previous prime is 53829031. The next prime is 53829091. The reversal of 53829072 is 27092835.

It is a happy number.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25929 + ... + 27927.

It is an arithmetic number, because the mean of its divisors is an integer number (1450800).

Almost surely, 2^53829072 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 53829072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87048000).

53829072 is an abundant number, since it is smaller than the sum of its proper divisors (120266928).

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

53829072 is a wasteful number, since it uses less digits than its factorization.

53829072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2032 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53829072 is about 7336.8298331091. The cubic root of 53829072 is about 377.5770864316.

The spelling of 53829072 in words is "fifty-three million, eight hundred twenty-nine thousand, seventy-two".