72043008 has 160 divisors (see below), whose sum is σ = 212129280. Its totient is φ = 21626880.

The previous prime is 72043001. The next prime is 72043031. The reversal of 72043008 is 80034027.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72043001) 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, 809428 + ... + 809516.

It is an arithmetic number, because the mean of its divisors is an integer number (1325808).

Almost surely, 2^72043008 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 72043008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106064640).

72043008 is an abundant number, since it is smaller than the sum of its proper divisors (140086272).

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

72043008 is a wasteful number, since it uses less digits than its factorization.

72043008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 72043008 is about 8487.8152666042. The cubic root of 72043008 is about 416.0995816830.

The spelling of 72043008 in words is "seventy-two million, forty-three thousand, eight".