61839072 has 96 divisors (see below), whose sum is σ = 189907200. Its totient is φ = 19522944.

The previous prime is 61839061. The next prime is 61839073. The reversal of 61839072 is 27093816.

61839072 is a `hidden beast` number, since 618 + 39 + 0 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61839073) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14533 + ... + 18299.

It is an arithmetic number, because the mean of its divisors is an integer number (1978200).

Almost surely, 2^61839072 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 61839072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94953600).

61839072 is an abundant number, since it is smaller than the sum of its proper divisors (128068128).

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

61839072 is a wasteful number, since it uses less digits than its factorization.

61839072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 61839072 is about 7863.7822960710. The cubic root of 61839072 is about 395.4464257764.

The spelling of 61839072 in words is "sixty-one million, eight hundred thirty-nine thousand, seventy-two".