72830142 has 144 divisors (see below), whose sum is σ = 210633696. Its totient is φ = 17740800.

The previous prime is 72830141. The next prime is 72830143. The reversal of 72830142 is 24103827.

It is an interprime number because it is at equal distance from previous prime (72830141) and next prime (72830143).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72830141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 259042 + ... + 259322.

It is an arithmetic number, because the mean of its divisors is an integer number (1462734).

Almost surely, 2^72830142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72830142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105316848).

72830142 is an abundant number, since it is smaller than the sum of its proper divisors (137803554).

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

72830142 is a wasteful number, since it uses less digits than its factorization.

72830142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 72830142 is about 8534.0577687288. The cubic root of 72830142 is about 417.6095152960.

Adding to 72830142 its reverse (24103827), we get a palindrome (96933969).

The spelling of 72830142 in words is "seventy-two million, eight hundred thirty thousand, one hundred forty-two".