72884144 has 20 divisors (see below), whose sum is σ = 142063824. Its totient is φ = 36222528.

The previous prime is 72884143. The next prime is 72884159. The reversal of 72884144 is 44148827.

It is a happy number.

It is a super-2 number, since 2×72884144² = 10624196893225472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 72884098 and 72884107.

It is not an unprimeable number, because it can be changed into a prime (72884143) 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, 10967 + ... + 16310.

Almost surely, 2^72884144 is an apocalyptic number.

It is an amenable number.

72884144 is a deficient number, since it is larger than the sum of its proper divisors (69179680).

72884144 is a wasteful number, since it uses less digits than its factorization.

72884144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27452 (or 27446 counting only the distinct ones).

The product of its digits is 57344, while the sum is 38.

The square root of 72884144 is about 8537.2210935409. The cubic root of 72884144 is about 417.7127059844.

The spelling of 72884144 in words is "seventy-two million, eight hundred eighty-four thousand, one hundred forty-four".