41772672 has 192 divisors, whose sum is σ = 133660800. Its totient is φ = 12939264.

The previous prime is 41772671. The next prime is 41772677. The reversal of 41772672 is 27627714.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×41772672² = 3489912252039168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (41772671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528729 + ... + 528807.

It is an arithmetic number, because the mean of its divisors is an integer number (696150).

Almost surely, 2^41772672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41772672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66830400).

41772672 is an abundant number, since it is smaller than the sum of its proper divisors (91888128).

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

41772672 is an equidigital number, since it uses as much as digits as its factorization.

41772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 101 counting only the distinct ones).

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

The square root of 41772672 is about 6463.1781655777. The cubic root of 41772672 is about 346.9743881746.

The spelling of 41772672 in words is "forty-one million, seven hundred seventy-two thousand, six hundred seventy-two".