61729752 has 64 divisors (see below), whose sum is σ = 178041600. Its totient is φ = 17470080.

The previous prime is 61729751. The next prime is 61729763. The reversal of 61729752 is 25792716.

It is a self number, because there is not a number n which added to its sum of digits gives 61729752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61729751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16627 + ... + 19997.

It is an arithmetic number, because the mean of its divisors is an integer number (2781900).

Almost surely, 2^61729752 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 61729752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89020800).

61729752 is an abundant number, since it is smaller than the sum of its proper divisors (116311848).

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

61729752 is a wasteful number, since it uses less digits than its factorization.

61729752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3496 (or 3492 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 61729752 is about 7856.8283677321. The cubic root of 61729752 is about 395.2132630351.

It can be divided in two parts, 61729 and 752, that added together give a triangular number (62481 = T₃₅₃).

The spelling of 61729752 in words is "sixty-one million, seven hundred twenty-nine thousand, seven hundred fifty-two".