72663040 has 60 divisors (see below), whose sum is σ = 174582576. Its totient is φ = 29032448.

The previous prime is 72663037. The next prime is 72663047. The reversal of 72663040 is 4036627.

It is not an unprimeable number, because it can be changed into a prime (72663047) 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, 81477 + ... + 82363.

Almost surely, 2^72663040 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 72663040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87291288).

72663040 is an abundant number, since it is smaller than the sum of its proper divisors (101919536).

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

72663040 is an frugal number, since it uses more digits than its factorization.

72663040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 72663040 is about 8524.2618448755. The cubic root of 72663040 is about 417.2898819595.

Adding to 72663040 its reverse (4036627), we get a palindrome (76699667).

The spelling of 72663040 in words is "seventy-two million, six hundred sixty-three thousand, forty".