1072008 has 64 divisors (see below), whose sum is σ = 3408000. Its totient is φ = 305856.

The previous prime is 1071991. The next prime is 1072009. The reversal of 1072008 is 8002701.

1072008 = T₁₆₇ + T₁₆₈ + ... + T₂₂₂.

It is a super-2 number, since 2×1072008² = 2298402304128, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1072009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158 + ... + 1866.

It is an arithmetic number, because the mean of its divisors is an integer number (53250).

2^1072008 is an apocalyptic number.

1072008 is a gapful number since it is divisible by the number (18) 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 1072008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704000).

1072008 is an abundant number, since it is smaller than the sum of its proper divisors (2335992).

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

1072008 is a wasteful number, since it uses less digits than its factorization.

1072008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

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

The square root of 1072008 is about 1035.3781917734. The cubic root of 1072008 is about 102.3448535262.

Adding to 1072008 its reverse (8002701), we get a palindrome (9074709).

The spelling of 1072008 in words is "one million, seventy-two thousand, eight".