72002880 has 168 divisors, whose sum is σ = 258665472. Its totient is φ = 18349056.

The previous prime is 72002873. The next prime is 72002881. The reversal of 72002880 is 8820027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72002881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65697 + ... + 66783.

Almost surely, 2^72002880 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 72002880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129332736).

72002880 is an abundant number, since it is smaller than the sum of its proper divisors (186662592).

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

72002880 is a wasteful number, since it uses less digits than its factorization.

72002880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 72002880 is about 8485.4510781690. The cubic root of 72002880 is about 416.0223114266.

The spelling of 72002880 in words is "seventy-two million, two thousand, eight hundred eighty".