72132025 has 24 divisors (see below), whose sum is σ = 106671744. Its totient is φ = 47308800.

The previous prime is 72132001. The next prime is 72132029. The reversal of 72132025 is 52023127.

It is not a de Polignac number, because 72132025 - 2¹¹ = 72129977 is a prime.

It is a super-3 number, since 3×72132025³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 72131987 and 72132005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72132029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4936 + ... + 12985.

It is an arithmetic number, because the mean of its divisors is an integer number (4444656).

Almost surely, 2^72132025 is an apocalyptic number.

It is an amenable number.

72132025 is a deficient number, since it is larger than the sum of its proper divisors (34539719).

72132025 is a wasteful number, since it uses less digits than its factorization.

72132025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17961 (or 17956 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 72132025 is about 8493.0574588896. The cubic root of 72132025 is about 416.2708899627.

The spelling of 72132025 in words is "seventy-two million, one hundred thirty-two thousand, twenty-five".