61272960 has 256 divisors, whose sum is σ = 230307840. Its totient is φ = 13565952.

The previous prime is 61272919. The next prime is 61272961. The reversal of 61272960 is 6927216.

61272960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61272961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631632 + ... + 631728.

It is an arithmetic number, because the mean of its divisors is an integer number (899640).

Almost surely, 2^61272960 is an apocalyptic number.

61272960 is a gapful number since it is divisible by the number (60) 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 61272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115153920).

61272960 is an abundant number, since it is smaller than the sum of its proper divisors (169034880).

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

61272960 is a wasteful number, since it uses less digits than its factorization.

61272960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 61272960 is about 7827.7046444025. The cubic root of 61272960 is about 394.2360065760.

The spelling of 61272960 in words is "sixty-one million, two hundred seventy-two thousand, nine hundred sixty".