61127712 has 72 divisors (see below), whose sum is σ = 182997360. Its totient is φ = 19301760.

The previous prime is 61127701. The next prime is 61127713. The reversal of 61127712 is 21772116.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (61127713) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 114 + ... + 11057.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^61127712 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 61127712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91498680).

61127712 is an abundant number, since it is smaller than the sum of its proper divisors (121869648).

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

61127712 is a wasteful number, since it uses less digits than its factorization.

61127712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11206 (or 11195 counting only the distinct ones).

The product of its digits is 1176, while the sum is 27.

The square root of 61127712 is about 7818.4213240270. The cubic root of 61127712 is about 393.9242469906.

Adding to 61127712 its reverse (21772116), we get a palindrome (82899828).

It can be divided in two parts, 6112 and 7712, that added together give a cube (13824 = 24³).

The spelling of 61127712 in words is "sixty-one million, one hundred twenty-seven thousand, seven hundred twelve".