61729416 has 72 divisors (see below), whose sum is σ = 194490270. Its totient is φ = 17635968.

The previous prime is 61729391. The next prime is 61729433. The reversal of 61729416 is 61492716.

61729416 is a `hidden beast` number, since 617 + 29 + 4 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 61685316 + 44100 = 7854^2 + 210^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5221 + ... + 12276.

Almost surely, 2^61729416 is an apocalyptic number.

It is an amenable number.

61729416 is an abundant number, since it is smaller than the sum of its proper divisors (132760854).

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

61729416 is a wasteful number, since it uses less digits than its factorization.

61729416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17523 (or 17509 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 61729416 is about 7856.8069850290. The cubic root of 61729416 is about 395.2125459747.

The spelling of 61729416 in words is "sixty-one million, seven hundred twenty-nine thousand, four hundred sixteen".