72073080 has 192 divisors, whose sum is σ = 253562400. Its totient is φ = 17694720.

The previous prime is 72073063. The next prime is 72073087. The reversal of 72073080 is 8037027.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72073087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 280312 + ... + 280568.

Almost surely, 2^72073080 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 72073080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126781200).

72073080 is an abundant number, since it is smaller than the sum of its proper divisors (181489320).

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

72073080 is a wasteful number, since it uses less digits than its factorization.

72073080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 72073080 is about 8489.5865623716. The cubic root of 72073080 is about 416.1574693547.

The spelling of 72073080 in words is "seventy-two million, seventy-three thousand, eighty".