1020272 has 60 divisors (see below), whose sum is σ = 2374848. Its totient is φ = 422400.

The previous prime is 1020269. The next prime is 1020293. The reversal of 1020272 is 2720201.

1020272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32897 + ... + 32927.

2^1020272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187424).

1020272 is an abundant number, since it is smaller than the sum of its proper divisors (1354576).

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

1020272 is a wasteful number, since it uses less digits than its factorization.

1020272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 1020272 is about 1010.0851449259. The cubic root of 1020272 is about 100.6712179182.

Adding to 1020272 its reverse (2720201), we get a palindrome (3740473).

The spelling of 1020272 in words is "one million, twenty thousand, two hundred seventy-two".