61528272 has 80 divisors (see below), whose sum is σ = 172572288. Its totient is φ = 18777600.

The previous prime is 61528261. The next prime is 61528277. The reversal of 61528272 is 27282516.

61528272 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 (61528277) 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 15 ways as a sum of consecutive naturals, for example, 93898 + ... + 94550.

Almost surely, 2^61528272 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 61528272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86286144).

61528272 is an abundant number, since it is smaller than the sum of its proper divisors (111044016).

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

61528272 is a wasteful number, since it uses less digits than its factorization.

61528272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 822 counting only the distinct ones).

The product of its digits is 13440, while the sum is 33.

The square root of 61528272 is about 7843.9959204477. The cubic root of 61528272 is about 394.7828149646.

The spelling of 61528272 in words is "sixty-one million, five hundred twenty-eight thousand, two hundred seventy-two".