1042272 has 144 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 264960.

The previous prime is 1042271. The next prime is 1042273. The reversal of 1042272 is 2722401.

It is an interprime number because it is at equal distance from previous prime (1042271) and next prime (1042273).

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 nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22153 + ... + 22199.

It is an arithmetic number, because the mean of its divisors is an integer number (26208).

2^1042272 is an apocalyptic number.

1042272 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 1042272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976).

1042272 is an abundant number, since it is smaller than the sum of its proper divisors (2731680).

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

1042272 is a wasteful number, since it uses less digits than its factorization.

1042272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 1042272 is about 1020.9172346474. The cubic root of 1042272 is about 101.3896655084.

Adding to 1042272 its reverse (2722401), we get a palindrome (3764673).

The spelling of 1042272 in words is "one million, forty-two thousand, two hundred seventy-two".