61273200 has 60 divisors (see below), whose sum is σ = 196282328. Its totient is φ = 16339200.

The previous prime is 61273171. The next prime is 61273217. The reversal of 61273200 is 237216.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24331 + ... + 26730.

Almost surely, 2^61273200 is an apocalyptic number.

61273200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61273200 is an abundant number, since it is smaller than the sum of its proper divisors (135009128).

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

61273200 is a wasteful number, since it uses less digits than its factorization.

61273200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51082 (or 51071 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 61273200 is about 7827.7199745520. The cubic root of 61273200 is about 394.2365213029.

The spelling of 61273200 in words is "sixty-one million, two hundred seventy-three thousand, two hundred".