61272000 has 336 divisors, whose sum is σ = 234891072. Its totient is φ = 15206400.

The previous prime is 61271989. The next prime is 61272007. The reversal of 61272000 is 27216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61272007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1655982 + ... + 1656018.

Almost surely, 2^61272000 is an apocalyptic number.

61272000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117445536).

61272000 is an abundant number, since it is smaller than the sum of its proper divisors (173619072).

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

61272000 is a wasteful number, since it uses less digits than its factorization.

61272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 61272000 is about 7827.6433235042. The cubic root of 61272000 is about 394.2339476551.

Adding to 61272000 its reverse (27216), we get a palindrome (61299216).

The spelling of 61272000 in words is "sixty-one million, two hundred seventy-two thousand".