72075080 has 96 divisors (see below), whose sum is σ = 205856640. Its totient is φ = 22458240.

The previous prime is 72075079. The next prime is 72075083. The reversal of 72075080 is 8057027.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72075083) 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, 19889 + ... + 23231.

It is an arithmetic number, because the mean of its divisors is an integer number (2144340).

Almost surely, 2^72075080 is an apocalyptic number.

72075080 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72075080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102928320).

72075080 is an abundant number, since it is smaller than the sum of its proper divisors (133781560).

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

72075080 is a wasteful number, since it uses less digits than its factorization.

72075080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3379 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 72075080 is about 8489.7043529207. The cubic root of 72075080 is about 416.1613187219.

The spelling of 72075080 in words is "seventy-two million, seventy-five thousand, eighty".