61728000 has 144 divisors (see below), whose sum is σ = 205348416. Its totient is φ = 16435200.

The previous prime is 61727999. The next prime is 61728011. The reversal of 61728000 is 82716.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95679 + ... + 96321.

Almost surely, 2^61728000 is an apocalyptic number.

61728000 is a gapful number since it is divisible by the number (60) 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 61728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102674208).

61728000 is an abundant number, since it is smaller than the sum of its proper divisors (143620416).

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

61728000 is an equidigital number, since it uses as much as digits as its factorization.

61728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 677 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 61728000 is about 7856.7168715692. The cubic root of 61728000 is about 395.2095240483.

The spelling of 61728000 in words is "sixty-one million, seven hundred twenty-eight thousand".