72007530 has 64 divisors (see below), whose sum is σ = 207912960. Its totient is φ = 15591744.

The previous prime is 72007517. The next prime is 72007531. The reversal of 72007530 is 3570027.

It is a super-3 number, since 3×72007530³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72007530.

It is not an unprimeable number, because it can be changed into a prime (72007531) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5034 + ... + 13013.

It is an arithmetic number, because the mean of its divisors is an integer number (3248640).

Almost surely, 2^72007530 is an apocalyptic number.

72007530 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72007530 is an abundant number, since it is smaller than the sum of its proper divisors (135905430).

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

72007530 is a wasteful number, since it uses less digits than its factorization.

72007530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18083.

The product of its (nonzero) digits is 1470, while the sum is 24.

The square root of 72007530 is about 8485.7250721432. The cubic root of 72007530 is about 416.0312669115.

Adding to 72007530 its reverse (3570027), we get a palindrome (75577557).

The spelling of 72007530 in words is "seventy-two million, seven thousand, five hundred thirty".