72958042 has 16 divisors (see below), whose sum is σ = 111898080. Its totient is φ = 35666928.

The previous prime is 72958031. The next prime is 72958049. The reversal of 72958042 is 24085927.

It is a junction number, because it is equal to n+sod(n) for n = 72957992 and 72958010.

It is not an unprimeable number, because it can be changed into a prime (72958049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16668 + ... + 20584.

It is an arithmetic number, because the mean of its divisors is an integer number (6993630).

Almost surely, 2^72958042 is an apocalyptic number.

72958042 is a deficient number, since it is larger than the sum of its proper divisors (38940038).

72958042 is a wasteful number, since it uses less digits than its factorization.

72958042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4125.

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 72958042 is about 8541.5479861674. The cubic root of 72958042 is about 417.8538327335.

The spelling of 72958042 in words is "seventy-two million, nine hundred fifty-eight thousand, forty-two".