72107280 has 320 divisors, whose sum is σ = 299980800. Its totient is φ = 15552000.

The previous prime is 72107279. The next prime is 72107281. The reversal of 72107280 is 8270127.

It is an interprime number because it is at equal distance from previous prime (72107279) and next prime (72107281).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72107281) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287155 + ... + 287405.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 2^72107280 is an apocalyptic number.

72107280 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 72107280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

72107280 is an abundant number, since it is smaller than the sum of its proper divisors (227873520).

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

72107280 is a wasteful number, since it uses less digits than its factorization.

72107280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 287 counting only the distinct ones).

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

The square root of 72107280 is about 8491.6005558434. The cubic root of 72107280 is about 416.2232837329.

The spelling of 72107280 in words is "seventy-two million, one hundred seven thousand, two hundred eighty".