1019872 has 48 divisors (see below), whose sum is σ = 2388960. Its totient is φ = 419328.

The previous prime is 1019861. The next prime is 1019873. The reversal of 1019872 is 2789101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1019872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1019873) 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, 6418 + ... + 6574.

It is an arithmetic number, because the mean of its divisors is an integer number (49770).

2^1019872 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 1019872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194480).

1019872 is an abundant number, since it is smaller than the sum of its proper divisors (1369088).

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

1019872 is a wasteful number, since it uses less digits than its factorization.

1019872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 1019872 is about 1009.8871224053. The cubic root of 1019872 is about 100.6580600705.

It can be divided in two parts, 1019 and 872, that added together give a triangular number (1891 = T₆₁).

The spelling of 1019872 in words is "one million, nineteen thousand, eight hundred seventy-two".