1272400 has 30 divisors (see below), whose sum is σ = 3057902. Its totient is φ = 508800.

The previous prime is 1272379. The next prime is 1272409. The reversal of 1272400 is 42721.

It can be written as a sum of positive squares in 3 ways, for example, as 16 + 1272384 = 4^2 + 1128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1272409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1191 + ... + 1990.

2^1272400 is an apocalyptic number.

1272400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1272400 is an abundant number, since it is smaller than the sum of its proper divisors (1785502).

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

1272400 is a wasteful number, since it uses less digits than its factorization.

1272400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3199 (or 3188 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 1272400 is about 1128.0070921763. The cubic root of 1272400 is about 108.3613865548.

Subtracting from 1272400 its sum of digits (16), we obtain a square (1272384 = 1128²).

The spelling of 1272400 in words is "one million, two hundred seventy-two thousand, four hundred".