72007500 has 60 divisors (see below), whose sum is σ = 209976536. Its totient is φ = 19200000.

The previous prime is 72007487. The next prime is 72007517. The reversal of 72007500 is 570027.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2700 + ... + 12300.

Almost surely, 2^72007500 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 72007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104988268).

72007500 is an abundant number, since it is smaller than the sum of its proper divisors (137969036).

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

72007500 is a wasteful number, since it uses less digits than its factorization.

72007500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9628 (or 9611 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 21.

The square root of 72007500 is about 8485.7233044685. The cubic root of 72007500 is about 416.0312091354.

Adding to 72007500 its reverse (570027), we get a palindrome (72577527).

The spelling of 72007500 in words is "seventy-two million, seven thousand, five hundred".