72948042 has 72 divisors (see below), whose sum is σ = 169775424. Its totient is φ = 22624272.

The previous prime is 72948041. The next prime is 72948067. The reversal of 72948042 is 24084927.

It is a junction number, because it is equal to n+sod(n) for n = 72947988 and 72948006.

It is not an unprimeable number, because it can be changed into a prime (72948041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 447453 + ... + 447615.

It is an arithmetic number, because the mean of its divisors is an integer number (2357992).

Almost surely, 2^72948042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72948042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84887712).

72948042 is an abundant number, since it is smaller than the sum of its proper divisors (96827382).

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

72948042 is a wasteful number, since it uses less digits than its factorization.

72948042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 72948042 is about 8540.9625921204. The cubic root of 72948042 is about 417.8347408046.

The spelling of 72948042 in words is "seventy-two million, nine hundred forty-eight thousand, forty-two".