1005627072 has 28 divisors (see below), whose sum is σ = 2660722136. Its totient is φ = 335208960.

The previous prime is 1005627067. The next prime is 1005627083. The reversal of 1005627072 is 2707265001.

1005627072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005627072² = 2022571615878586368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2618629 + ... + 2619012.

Almost surely, 2^1005627072 is an apocalyptic number.

1005627072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1005627072 is an abundant number, since it is smaller than the sum of its proper divisors (1655095064).

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

1005627072 is an equidigital number, since it uses as much as digits as its factorization.

1005627072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5237656 (or 5237646 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1005627072 is about 31711.6236102789. The cubic root of 1005627072 is about 1001.8721834086.

It can be divided in two parts, 10056 and 27072, that added together give a triangular number (37128 = T₂₇₂).

The spelling of 1005627072 in words is "one billion, five million, six hundred twenty-seven thousand, seventy-two".