61000272 has 90 divisors (see below), whose sum is σ = 176983898. Its totient is φ = 19598976.

The previous prime is 61000271. The next prime is 61000283. The reversal of 61000272 is 27200016.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 59351616 + 1648656 = 7704^2 + 1284^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61000271) 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, 570043 + ... + 570149.

Almost surely, 2^61000272 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 61000272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88491949).

61000272 is an abundant number, since it is smaller than the sum of its proper divisors (115983626).

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

61000272 is a wasteful number, since it uses less digits than its factorization.

61000272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61000272 is about 7810.2670889029. The cubic root of 61000272 is about 393.6503034062.

Adding to 61000272 its reverse (27200016), we get a palindrome (88200288).

The spelling of 61000272 in words is "sixty-one million, two hundred seventy-two", and thus it is an aban number.