1005672672 has 240 divisors, whose sum is σ = 3243738960. Its totient is φ = 304238592.

The previous prime is 1005672671. The next prime is 1005672697. The reversal of 1005672672 is 2762765001.

1005672672 is a `hidden beast` number, since 1 + 0 + 0 + 567 + 26 + 72 = 666.

It is a super-2 number, since 2×1005672672² = 2022755046415239168, which contains 22 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 not an unprimeable number, because it can be changed into a prime (1005672671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1277463 + ... + 1278249.

It is an arithmetic number, because the mean of its divisors is an integer number (13515579).

Almost surely, 2^1005672672 is an apocalyptic number.

1005672672 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 1005672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1621869480).

1005672672 is an abundant number, since it is smaller than the sum of its proper divisors (2238066288).

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

1005672672 is a wasteful number, since it uses less digits than its factorization.

1005672672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1005672672 is about 31712.3425813988. The cubic root of 1005672672 is about 1001.8873264247.

It can be divided in two parts, 10056 and 72672, that added together give a palindrome (82728).

The spelling of 1005672672 in words is "one billion, five million, six hundred seventy-two thousand, six hundred seventy-two".