61728096 has 96 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 19837440.

The previous prime is 61728089. The next prime is 61728097. The reversal of 61728096 is 69082716.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61728097) 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, 485985 + ... + 486111.

It is an arithmetic number, because the mean of its divisors is an integer number (1749888).

Almost surely, 2^61728096 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 61728096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

61728096 is an abundant number, since it is smaller than the sum of its proper divisors (106261152).

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

61728096 is a wasteful number, since it uses less digits than its factorization.

61728096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 61728096 is about 7856.7229809890. The cubic root of 61728096 is about 395.2097289261.

The spelling of 61728096 in words is "sixty-one million, seven hundred twenty-eight thousand, ninety-six".