40772224 has 32 divisors (see below), whose sum is σ = 83430900. Its totient is φ = 19832832.

The previous prime is 40772219. The next prime is 40772227. The reversal of 40772224 is 42227704.

It can be written as a sum of positive squares in 2 ways, for example, as 40449600 + 322624 = 6360^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×40772224³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40772192 and 40772201.

It is not an unprimeable number, because it can be changed into a prime (40772227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 432 + ... + 9040.

Almost surely, 2^40772224 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 40772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41715450).

40772224 is an abundant number, since it is smaller than the sum of its proper divisors (42658676).

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

40772224 is an equidigital number, since it uses as much as digits as its factorization.

40772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8660 (or 8648 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 28.

The square root of 40772224 is about 6385.3131481549. The cubic root of 40772224 is about 344.1819841130.

Adding to 40772224 its reverse (42227704), we get a palindrome (82999928).

The spelling of 40772224 in words is "forty million, seven hundred seventy-two thousand, two hundred twenty-four".