72244440 has 128 divisors (see below), whose sum is σ = 242956800. Its totient is φ = 19094400.

The previous prime is 72244427. The next prime is 72244457. The reversal of 72244440 is 4444227.

It is a super-2 number, since 2×72244440² = 10438518221827200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162859 + ... + 163301.

It is an arithmetic number, because the mean of its divisors is an integer number (1898100).

Almost surely, 2^72244440 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 72244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121478400).

72244440 is an abundant number, since it is smaller than the sum of its proper divisors (170712360).

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

72244440 is a wasteful number, since it uses less digits than its factorization.

72244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 72244440 is about 8499.6729348840. The cubic root of 72244440 is about 416.4870251383.

Adding to 72244440 its reverse (4444227), we get a palindrome (76688667).

It can be divided in two parts, 7224 and 4440, that added together give a square (11664 = 108²).

The spelling of 72244440 in words is "seventy-two million, two hundred forty-four thousand, four hundred forty".