61729128 has 40 divisors (see below), whose sum is σ = 172900530. Its totient is φ = 20576160.

The previous prime is 61729117. The next prime is 61729141. The reversal of 61729128 is 82192716.

61729128 is a `hidden beast` number, since 617 + 29 + 12 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 60186564 + 1542564 = 7758^2 + 1242^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61729092 and 61729101.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 46983 + ... + 48278.

Almost surely, 2^61729128 is an apocalyptic number.

It is an amenable number.

61729128 is an abundant number, since it is smaller than the sum of its proper divisors (111171402).

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

61729128 is a wasteful number, since it uses less digits than its factorization.

61729128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95279 (or 95266 counting only the distinct ones).

The product of its digits is 12096, while the sum is 36.

The square root of 61729128 is about 7856.7886569514. The cubic root of 61729128 is about 395.2119313493.

The spelling of 61729128 in words is "sixty-one million, seven hundred twenty-nine thousand, one hundred twenty-eight".