1072512 has 144 divisors (see below), whose sum is σ = 3779100. Its totient is φ = 290304.

The previous prime is 1072471. The next prime is 1072517. The reversal of 1072512 is 2152701.

It is a tau number, because it is divible by the number of its divisors (144).

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 (1072517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 56439 + ... + 56457.

2^1072512 is an apocalyptic number.

1072512 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 1072512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1889550).

1072512 is an abundant number, since it is smaller than the sum of its proper divisors (2706588).

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

1072512 is a wasteful number, since it uses less digits than its factorization.

1072512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1072512 is about 1035.6215524988. The cubic root of 1072512 is about 102.3608900124.

The spelling of 1072512 in words is "one million, seventy-two thousand, five hundred twelve".