72170280 has 192 divisors, whose sum is σ = 288812160. Its totient is φ = 15220224.

The previous prime is 72170269. The next prime is 72170327. The reversal of 72170280 is 8207127.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31659 + ... + 33861.

It is an arithmetic number, because the mean of its divisors is an integer number (1504230).

Almost surely, 2^72170280 is an apocalyptic number.

72170280 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 72170280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144406080).

72170280 is an abundant number, since it is smaller than the sum of its proper divisors (216641880).

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

72170280 is a wasteful number, since it uses less digits than its factorization.

72170280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 72170280 is about 8495.3092939575. The cubic root of 72170280 is about 416.3444662906.

The spelling of 72170280 in words is "seventy-two million, one hundred seventy thousand, two hundred eighty".