61152 has 72 divisors (see below), whose sum is σ = 201096. Its totient is φ = 16128.

The previous prime is 61151. The next prime is 61153. The reversal of 61152 is 25116.

It is an interprime number because it is at equal distance from previous prime (61151) and next prime (61153).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4698 + ... + 4710.

It is an arithmetic number, because the mean of its divisors is an integer number (2793).

2⁶¹¹⁵² 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 61152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100548).

61152 is an abundant number, since it is smaller than the sum of its proper divisors (139944).

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

61152 is a wasteful number, since it uses less digits than its factorization.

61152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40 (or 25 counting only the distinct ones).

The product of its digits is 60, while the sum is 15.

The square root of 61152 is about 247.2893042572. The cubic root of 61152 is about 39.3976412994.

Adding to 61152 its reverse (25116), we get a palindrome (86268).

The spelling of 61152 in words is "sixty-one thousand, one hundred fifty-two".