72657444 has 48 divisors (see below), whose sum is σ = 182631680. Its totient is φ = 22407840.

The previous prime is 72657421. The next prime is 72657449. The reversal of 72657444 is 44475627.

It is a super-2 number, since 2×72657444² = 10558208337226272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72657449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6099 + ... + 13509.

Almost surely, 2^72657444 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 72657444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91315840).

72657444 is an abundant number, since it is smaller than the sum of its proper divisors (109974236).

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

72657444 is a wasteful number, since it uses less digits than its factorization.

72657444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 7478 counting only the distinct ones).

The product of its digits is 188160, while the sum is 39.

The square root of 72657444 is about 8523.9335989906. The cubic root of 72657444 is about 417.2791694335.

The spelling of 72657444 in words is "seventy-two million, six hundred fifty-seven thousand, four hundred forty-four".