72408868 has 36 divisors (see below), whose sum is σ = 149213232. Its totient is φ = 30651600.

The previous prime is 72408863. The next prime is 72408877. The reversal of 72408868 is 86880427.

It is a Smith number, since the sum of its digits (43) 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 (72408863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14043 + ... + 18493.

It is an arithmetic number, because the mean of its divisors is an integer number (4144812).

Almost surely, 2^72408868 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 72408868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74606616).

72408868 is an abundant number, since it is smaller than the sum of its proper divisors (76804364).

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

72408868 is a wasteful number, since it uses less digits than its factorization.

72408868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4543 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 43.

The square root of 72408868 is about 8509.3400449154. The cubic root of 72408868 is about 416.8027598817.

The spelling of 72408868 in words is "seventy-two million, four hundred eight thousand, eight hundred sixty-eight".