61201728 has 168 divisors, whose sum is σ = 205727808. Its totient is φ = 17031168.

The previous prime is 61201669. The next prime is 61201733. The reversal of 61201728 is 82710216.

61201728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173200 + ... + 173552.

Almost surely, 2^61201728 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 61201728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102863904).

61201728 is an abundant number, since it is smaller than the sum of its proper divisors (144526080).

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

61201728 is a wasteful number, since it uses less digits than its factorization.

61201728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 61201728 is about 7823.1533284220. The cubic root of 61201728 is about 394.0831762006.

The spelling of 61201728 in words is "sixty-one million, two hundred one thousand, seven hundred twenty-eight".