61539072 has 72 divisors (see below), whose sum is σ = 187197696. Its totient is φ = 17581056.

The previous prime is 61539047. The next prime is 61539077. The reversal of 61539072 is 27093516.

It is not an unprimeable number, because it can be changed into a prime (61539077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 348 + ... + 11099.

It is an arithmetic number, because the mean of its divisors is an integer number (2599968).

Almost surely, 2^61539072 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 61539072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93598848).

61539072 is an abundant number, since it is smaller than the sum of its proper divisors (125658624).

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

61539072 is a wasteful number, since it uses less digits than its factorization.

61539072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11473 (or 11459 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 61539072 is about 7844.6843148721. The cubic root of 61539072 is about 394.8059122326.

It can be divided in two parts, 6153 and 9072, that added together give a triangular number (15225 = T₁₇₄).

The spelling of 61539072 in words is "sixty-one million, five hundred thirty-nine thousand, seventy-two".