72089457 has 32 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 42168000.

The previous prime is 72089449. The next prime is 72089461. The reversal of 72089457 is 75498027.

It is not a de Polignac number, because 72089457 - 2³ = 72089449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72089417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143068 + ... + 143570.

It is an arithmetic number, because the mean of its divisors is an integer number (3392928).

Almost surely, 2^72089457 is an apocalyptic number.

It is an amenable number.

72089457 is a deficient number, since it is larger than the sum of its proper divisors (36484239).

72089457 is a wasteful number, since it uses less digits than its factorization.

72089457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661.

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 72089457 is about 8490.5510421880. The cubic root of 72089457 is about 416.1889878020.

The spelling of 72089457 in words is "seventy-two million, eighty-nine thousand, four hundred fifty-seven".