61258752 has 198 divisors, whose sum is σ = 196069848. Its totient is φ = 18382848.

The previous prime is 61258751. The next prime is 61258801. The reversal of 61258752 is 25785216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61258751) 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 17 ways as a sum of consecutive naturals, for example, 2663413 + ... + 2663435.

Almost surely, 2^61258752 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 61258752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034924).

61258752 is an abundant number, since it is smaller than the sum of its proper divisors (134811096).

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

61258752 is a wasteful number, since it uses less digits than its factorization.

61258752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 45 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

The square root of 61258752 is about 7826.7970460464. The cubic root of 61258752 is about 394.2055323496.

The spelling of 61258752 in words is "sixty-one million, two hundred fifty-eight thousand, seven hundred fifty-two".