72663444 has 144 divisors (see below), whose sum is σ = 222069120. Its totient is φ = 19595520.

The previous prime is 72663401. The next prime is 72663499. The reversal of 72663444 is 44436627.

It is a super-2 number, since 2×72663444² = 10559952187882272, which contains 22 as substring.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 72663399 and 72663408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 445707 + ... + 445869.

Almost surely, 2^72663444 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 72663444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111034560).

72663444 is an abundant number, since it is smaller than the sum of its proper divisors (149405676).

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

72663444 is a wasteful number, since it uses less digits than its factorization.

72663444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 265 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 72663444 is about 8524.2855419091. The cubic root of 72663444 is about 417.2906553229.

The spelling of 72663444 in words is "seventy-two million, six hundred sixty-three thousand, four hundred forty-four".