1005852672 has 288 divisors, whose sum is σ = 3273313680. Its totient is φ = 297369600.

The previous prime is 1005852667. The next prime is 1005852737. The reversal of 1005852672 is 2762585001.

It is a happy number.

1005852672 is a `hidden beast` number, since 1 + 0 + 0 + 585 + 2 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×1005852672³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24532972 + ... + 24533012.

Almost surely, 2^1005852672 is an apocalyptic number.

1005852672 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 1005852672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1636656840).

1005852672 is an abundant number, since it is smaller than the sum of its proper divisors (2267461008).

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

1005852672 is an equidigital number, since it uses as much as digits as its factorization.

1005852672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1005852672 is about 31715.1804661427. The cubic root of 1005852672 is about 1001.9470970193.

The spelling of 1005852672 in words is "one billion, five million, eight hundred fifty-two thousand, six hundred seventy-two".