72958914 has 32 divisors (see below), whose sum is σ = 185293440. Its totient is φ = 20845296.

The previous prime is 72958889. The next prime is 72958937. The reversal of 72958914 is 41985927.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72958914.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96129 + ... + 96884.

It is an arithmetic number, because the mean of its divisors is an integer number (5790420).

Almost surely, 2^72958914 is an apocalyptic number.

72958914 is an abundant number, since it is smaller than the sum of its proper divisors (112334526).

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

72958914 is a wasteful number, since it uses less digits than its factorization.

72958914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193031 (or 193025 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 72958914 is about 8541.5990306265. The cubic root of 72958914 is about 417.8554974670.

The spelling of 72958914 in words is "seventy-two million, nine hundred fifty-eight thousand, nine hundred fourteen".