72069408 has 72 divisors (see below), whose sum is σ = 212039100. Its totient is φ = 23192064.

The previous prime is 72069407. The next prime is 72069449. The reversal of 72069408 is 80496027.

It can be written as a sum of positive squares in 2 ways, for example, as 70358544 + 1710864 = 8388^2 + 1308^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (72069407) 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, 4038 + ... + 12666.

Almost surely, 2^72069408 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 72069408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106019550).

72069408 is an abundant number, since it is smaller than the sum of its proper divisors (139969692).

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

72069408 is a wasteful number, since it uses less digits than its factorization.

72069408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8674 (or 8663 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 72069408 is about 8489.3702946685. The cubic root of 72069408 is about 416.1504017312.

The spelling of 72069408 in words is "seventy-two million, sixty-nine thousand, four hundred eight".