1272600 has 144 divisors (see below), whose sum is σ = 4932720. Its totient is φ = 288000.

The previous prime is 1272589. The next prime is 1272617. The reversal of 1272600 is 62721.

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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12550 + ... + 12650.

It is an arithmetic number, because the mean of its divisors is an integer number (34255).

2^1272600 is an apocalyptic number.

1272600 is a gapful number since it is divisible by the number (10) 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 1272600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2466360).

1272600 is an abundant number, since it is smaller than the sum of its proper divisors (3660120).

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

1272600 is a wasteful number, since it uses less digits than its factorization.

1272600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

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

The square root of 1272600 is about 1128.0957406178. The cubic root of 1272600 is about 108.3670637899.

The spelling of 1272600 in words is "one million, two hundred seventy-two thousand, six hundred".