72200142 has 48 divisors (see below), whose sum is σ = 179768160. Its totient is φ = 20514816.

The previous prime is 72200137. The next prime is 72200143. The reversal of 72200142 is 24100227.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72200143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22834 + ... + 25802.

It is an arithmetic number, because the mean of its divisors is an integer number (3745170).

Almost surely, 2^72200142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72200142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89884080).

72200142 is an abundant number, since it is smaller than the sum of its proper divisors (107568018).

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

72200142 is a wasteful number, since it uses less digits than its factorization.

72200142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3174 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 72200142 is about 8497.0666703281. The cubic root of 72200142 is about 416.4018821875.

Adding to 72200142 its reverse (24100227), we get a palindrome (96300369).

The spelling of 72200142 in words is "seventy-two million, two hundred thousand, one hundred forty-two".