61369728 has 192 divisors, whose sum is σ = 200409600. Its totient is φ = 16293888.

The previous prime is 61369709. The next prime is 61369741. The reversal of 61369728 is 82796316.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (108864) is a multiple of the sum of its prime divisors (108).

It is a self number, because there is not a number n which added to its sum of digits gives 61369728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 776793 + ... + 776871.

It is an arithmetic number, because the mean of its divisors is an integer number (1043800).

Almost surely, 2^61369728 is an apocalyptic number.

61369728 is a gapful number since it is divisible by the number (68) 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 61369728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100204800).

61369728 is an abundant number, since it is smaller than the sum of its proper divisors (139039872).

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

61369728 is a wasteful number, since it uses less digits than its factorization.

61369728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 61369728 is about 7833.8833282096. The cubic root of 61369728 is about 394.4434355650.

The spelling of 61369728 in words is "sixty-one million, three hundred sixty-nine thousand, seven hundred twenty-eight".