1020072 has 32 divisors (see below), whose sum is σ = 2685600. Its totient is φ = 321984.

The previous prime is 1020059. The next prime is 1020077. The reversal of 1020072 is 2700201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1020077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 663 + ... + 1574.

It is an arithmetic number, because the mean of its divisors is an integer number (83925).

2^1020072 is an apocalyptic number.

1020072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1020072 is an abundant number, since it is smaller than the sum of its proper divisors (1665528).

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

1020072 is a wasteful number, since it uses less digits than its factorization.

1020072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 1020072 is about 1009.9861385187. The cubic root of 1020072 is about 100.6646394243.

Adding to 1020072 its product of nonzero digits (28), we get a square (1020100 = 1010²).

Adding to 1020072 its reverse (2700201), we get a palindrome (3720273).

The spelling of 1020072 in words is "one million, twenty thousand, seventy-two".