72142532 has 48 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 27703200.

The previous prime is 72142531. The next prime is 72142537. The reversal of 72142532 is 23524127.

It is not an unprimeable number, because it can be changed into a prime (72142531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20219 + ... + 23517.

It is an arithmetic number, because the mean of its divisors is an integer number (3326400).

Almost surely, 2^72142532 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 72142532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

72142532 is an abundant number, since it is smaller than the sum of its proper divisors (87524668).

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

72142532 is a wasteful number, since it uses less digits than its factorization.

72142532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3390 counting only the distinct ones).

The product of its digits is 3360, while the sum is 26.

The square root of 72142532 is about 8493.6760004135. The cubic root of 72142532 is about 416.2911008002.

Adding to 72142532 its reverse (23524127), we get a palindrome (95666659).

The spelling of 72142532 in words is "seventy-two million, one hundred forty-two thousand, five hundred thirty-two".