1072632 has 64 divisors (see below), whose sum is σ = 3110400. Its totient is φ = 304640.

The previous prime is 1072627. The next prime is 1072633. The reversal of 1072632 is 2362701.

It is a happy number.

It is a cake number, because a cake can be divided into 1072632 parts by 186 planar cuts.

It is a junction number, because it is equal to n+sod(n) for n = 1072599 and 1072608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4369 + ... + 4607.

It is an arithmetic number, because the mean of its divisors is an integer number (48600).

2^1072632 is an apocalyptic number.

1072632 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 1072632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555200).

1072632 is an abundant number, since it is smaller than the sum of its proper divisors (2037768).

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

1072632 is a wasteful number, since it uses less digits than its factorization.

1072632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

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

The square root of 1072632 is about 1035.6794871001. The cubic root of 1072632 is about 102.3647074829.

The spelling of 1072632 in words is "one million, seventy-two thousand, six hundred thirty-two".