61672128 has 56 divisors (see below), whose sum is σ = 186488832. Its totient is φ = 17620224.

The previous prime is 61672109. The next prime is 61672129. The reversal of 61672128 is 82127616.

It is a tau number, because it is divible by the number of its divisors (56).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (61672129) 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 7 ways as a sum of consecutive naturals, for example, 21600 + ... + 24287.

Almost surely, 2^61672128 is an apocalyptic number.

It is an amenable number.

61672128 is an abundant number, since it is smaller than the sum of its proper divisors (124816704).

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

61672128 is a wasteful number, since it uses less digits than its factorization.

61672128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45909 (or 45899 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 61672128 is about 7853.1603829286. The cubic root of 61672128 is about 395.0902491002.

The spelling of 61672128 in words is "sixty-one million, six hundred seventy-two thousand, one hundred twenty-eight".