1072448 has 28 divisors (see below), whose sum is σ = 2293620. Its totient is φ = 494592.

The previous prime is 1072447. The next prime is 1072457. The reversal of 1072448 is 8442701.

It can be written as a sum of positive squares in 2 ways, for example, as 506944 + 565504 = 712^2 + 752^2 .

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072447) 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 3 ways as a sum of consecutive naturals, for example, 188 + ... + 1476.

It is an arithmetic number, because the mean of its divisors is an integer number (81915).

2^1072448 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 1072448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146810).

1072448 is an abundant number, since it is smaller than the sum of its proper divisors (1221172).

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

1072448 is a wasteful number, since it uses less digits than its factorization.

1072448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1314 (or 1304 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 1072448 is about 1035.5906527195. The cubic root of 1072448 is about 102.3588539117.

The spelling of 1072448 in words is "one million, seventy-two thousand, four hundred forty-eight".