72083444 has 24 divisors (see below), whose sum is σ = 131716200. Its totient is φ = 34473600.

The previous prime is 72083441. The next prime is 72083467. The reversal of 72083444 is 44438027.

It can be written as a sum of positive squares in 4 ways, for example, as 29833444 + 42250000 = 5462^2 + 6500^2 .

It is a super-2 number, since 2×72083444² = 10392045797802272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72083444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72083441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9794 + ... + 15494.

It is an arithmetic number, because the mean of its divisors is an integer number (5488175).

Almost surely, 2^72083444 is an apocalyptic number.

It is an amenable number.

72083444 is a deficient number, since it is larger than the sum of its proper divisors (59632756).

72083444 is a wasteful number, since it uses less digits than its factorization.

72083444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5841 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 72083444 is about 8490.1969352895. The cubic root of 72083444 is about 416.1774160037.

It can be divided in two parts, 72083 and 444, that added together give a palindrome (72527).

The spelling of 72083444 in words is "seventy-two million, eighty-three thousand, four hundred forty-four".