1200672 has 72 divisors (see below), whose sum is σ = 3734640. Its totient is φ = 362880.

The previous prime is 1200643. The next prime is 1200673. The reversal of 1200672 is 2760021.

It is a happy number.

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

It is a super-2 number, since 2×1200672² = 2883226503168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1200673) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2979 + ... + 3357.

It is an arithmetic number, because the mean of its divisors is an integer number (51870).

2^1200672 is an apocalyptic number.

1200672 is a gapful number since it is divisible by the number (12) 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 1200672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1867320).

1200672 is an abundant number, since it is smaller than the sum of its proper divisors (2533968).

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

1200672 is a wasteful number, since it uses less digits than its factorization.

1200672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 395 counting only the distinct ones).

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

The square root of 1200672 is about 1095.7517967131. The cubic root of 1200672 is about 106.2856895099.

Adding to 1200672 its reverse (2760021), we get a palindrome (3960693).

The spelling of 1200672 in words is "one million, two hundred thousand, six hundred seventy-two".