72960342 has 96 divisors (see below), whose sum is σ = 190437120. Its totient is φ = 18195840.

The previous prime is 72960341. The next prime is 72960389. The reversal of 72960342 is 24306927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72960341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134592 + ... + 135132.

It is an arithmetic number, because the mean of its divisors is an integer number (1983720).

Almost surely, 2^72960342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72960342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95218560).

72960342 is an abundant number, since it is smaller than the sum of its proper divisors (117476778).

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

72960342 is a wasteful number, since it uses less digits than its factorization.

72960342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 72960342 is about 8541.6826211233. The cubic root of 72960342 is about 417.8582236304.

The spelling of 72960342 in words is "seventy-two million, nine hundred sixty thousand, three hundred forty-two".