72958961 has 4 divisors (see below), whose sum is σ = 73986624. Its totient is φ = 71931300.

The previous prime is 72958957. The next prime is 72958979. The reversal of 72958961 is 16985927.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 72958961 - 2² = 72958957 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72958261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 513725 + ... + 513866.

It is an arithmetic number, because the mean of its divisors is an integer number (18496656).

Almost surely, 2^72958961 is an apocalyptic number.

72958961 is a gapful number since it is divisible by the number (71) formed by its first and last digit.

It is an amenable number.

72958961 is a deficient number, since it is larger than the sum of its proper divisors (1027663).

72958961 is a wasteful number, since it uses less digits than its factorization.

72958961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027662.

The product of its digits is 272160, while the sum is 47.

The square root of 72958961 is about 8541.6017818674. The cubic root of 72958961 is about 417.8555871942.

The spelling of 72958961 in words is "seventy-two million, nine hundred fifty-eight thousand, nine hundred sixty-one".