72132501 has 16 divisors (see below), whose sum is σ = 110125184. Its totient is φ = 41140224.

The previous prime is 72132497. The next prime is 72132503. The reversal of 72132501 is 10523127.

It is not a de Polignac number, because 72132501 - 2² = 72132497 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72132503) 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 15 ways as a sum of consecutive naturals, for example, 9141 + ... + 15093.

It is an arithmetic number, because the mean of its divisors is an integer number (6882824).

Almost surely, 2^72132501 is an apocalyptic number.

It is an amenable number.

72132501 is a deficient number, since it is larger than the sum of its proper divisors (37992683).

72132501 is a wasteful number, since it uses less digits than its factorization.

72132501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6540.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 72132501 is about 8493.0854817316. The cubic root of 72132501 is about 416.2718056194.

Adding to 72132501 its reverse (10523127), we get a palindrome (82655628).

The spelling of 72132501 in words is "seventy-two million, one hundred thirty-two thousand, five hundred one".