43672272 has 80 divisors (see below), whose sum is σ = 131182080. Its totient is φ = 12260736.

The previous prime is 43672261. The next prime is 43672283. The reversal of 43672272 is 27227634.

It is an interprime number because it is at equal distance from previous prime (43672261) and next prime (43672283).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18723 + ... + 20925.

It is an arithmetic number, because the mean of its divisors is an integer number (1639776).

Almost surely, 2^43672272 is an apocalyptic number.

43672272 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a pronic number, being equal to 6608×6609.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43672272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65591040).

43672272 is an abundant number, since it is smaller than the sum of its proper divisors (87509808).

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

43672272 is a wasteful number, since it uses less digits than its factorization.

43672272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2280 (or 2274 counting only the distinct ones).

The product of its digits is 28224, while the sum is 33.

The square root of 43672272 is about 6608.4999810850. The cubic root of 43672272 is about 352.1561376872.

The spelling of 43672272 in words is "forty-three million, six hundred seventy-two thousand, two hundred seventy-two".