4172700672 has 264 divisors, whose sum is σ = 13979077632. Its totient is φ = 1174118400.

The previous prime is 4172700619. The next prime is 4172700731. The reversal of 4172700672 is 2760072714.

It is a happy number.

It is a super-2 number, since 2×4172700672² = 34822861796218503168, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4579897 + ... + 4580807.

Almost surely, 2^4172700672 is an apocalyptic number.

4172700672 is a gapful number since it is divisible by the number (42) 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 4172700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6989538816).

4172700672 is an abundant number, since it is smaller than the sum of its proper divisors (9806376960).

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

4172700672 is a wasteful number, since it uses less digits than its factorization.

4172700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1015 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 4172700672 is about 64596.4447318891. Note that the first 3 decimals coincide. The cubic root of 4172700672 is about 1609.9253687613.

The spelling of 4172700672 in words is "four billion, one hundred seventy-two million, seven hundred thousand, six hundred seventy-two".