72663808 has 144 divisors (see below), whose sum is σ = 181310976. Its totient is φ = 28385280.

The previous prime is 72663803. The next prime is 72663817. The reversal of 72663808 is 80836627.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72663803) 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, 1689835 + ... + 1689877.

It is an arithmetic number, because the mean of its divisors is an integer number (1259104).

Almost surely, 2^72663808 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 72663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90655488).

72663808 is an abundant number, since it is smaller than the sum of its proper divisors (108647168).

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

72663808 is a wasteful number, since it uses less digits than its factorization.

72663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 72663808 is about 8524.3068926453. The cubic root of 72663808 is about 417.2913521132.

The spelling of 72663808 in words is "seventy-two million, six hundred sixty-three thousand, eight hundred eight".