1054272 has 84 divisors (see below), whose sum is σ = 3119120. Its totient is φ = 313344.

The previous prime is 1054267. The next prime is 1054301. The reversal of 1054272 is 2724501.

It is a super-2 number, since 2×1054272² = 2222978899968, which contains 22 as substring.

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55479 + ... + 55497.

2^1054272 is an apocalyptic number.

1054272 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 1054272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559560).

1054272 is an abundant number, since it is smaller than the sum of its proper divisors (2064848).

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

1054272 is a wasteful number, since it uses less digits than its factorization.

1054272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1054272 is about 1026.7774831968. Note that the first 3 decimals coincide. The cubic root of 1054272 is about 101.7772918678. Note that the first 3 decimals are identical.

Adding to 1054272 its reverse (2724501), we get a palindrome (3778773).

It can be divided in two parts, 1054 and 272, that added together give a triangular number (1326 = T₅₁).

The spelling of 1054272 in words is "one million, fifty-four thousand, two hundred seventy-two".