1008072 has 64 divisors (see below), whose sum is σ = 3024000. Its totient is φ = 309312.

The previous prime is 1008043. The next prime is 1008101. The reversal of 1008072 is 2708001.

1008072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1008043) and next prime (1008101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2629 + ... + 2987.

It is an arithmetic number, because the mean of its divisors is an integer number (47250).

2^1008072 is an apocalyptic number.

1008072 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 1008072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512000).

1008072 is an abundant number, since it is smaller than the sum of its proper divisors (2015928).

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

1008072 is a wasteful number, since it uses less digits than its factorization.

1008072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 1008072 is about 1004.0278880589. The cubic root of 1008072 is about 100.2683459272.

The spelling of 1008072 in words is "one million, eight thousand, seventy-two".