72172500 has 60 divisors (see below), whose sum is σ = 210457632. Its totient is φ = 19244000.

The previous prime is 72172493. The next prime is 72172519. The reversal of 72172500 is 527127.

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

It is a congruent number.

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, 2689 + ... + 12311.

Almost surely, 2^72172500 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 72172500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105228816).

72172500 is an abundant number, since it is smaller than the sum of its proper divisors (138285132).

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

72172500 is a wasteful number, since it uses less digits than its factorization.

72172500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650 (or 9633 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 24.

The square root of 72172500 is about 8495.4399532926. The cubic root of 72172500 is about 416.3487352465.

Adding to 72172500 its reverse (527127), we get a palindrome (72699627).

The spelling of 72172500 in words is "seventy-two million, one hundred seventy-two thousand, five hundred".