72131742 has 32 divisors (see below), whose sum is σ = 161724960. Its totient is φ = 23829120.

The previous prime is 72131737. The next prime is 72131753. The reversal of 72131742 is 24713127.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192 + ... + 12012.

It is an arithmetic number, because the mean of its divisors is an integer number (5053905).

Almost surely, 2^72131742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72131742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80862480).

72131742 is an abundant number, since it is smaller than the sum of its proper divisors (89593218).

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

72131742 is a wasteful number, since it uses less digits than its factorization.

72131742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11945 (or 11939 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 72131742 is about 8493.0407982065. The cubic root of 72131742 is about 416.2703455683.

Adding to 72131742 its reverse (24713127), we get a palindrome (96844869).

The spelling of 72131742 in words is "seventy-two million, one hundred thirty-one thousand, seven hundred forty-two".