72918353 has 8 divisors (see below), whose sum is σ = 73726080. Its totient is φ = 72115200.

The previous prime is 72918347. The next prime is 72918359. The reversal of 72918353 is 35381927.

It is an interprime number because it is at equal distance from previous prime (72918347) and next prime (72918359).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 72918353 - 2⁴ = 72918337 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (72918359) 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 7 ways as a sum of consecutive naturals, for example, 37868 + ... + 39746.

It is an arithmetic number, because the mean of its divisors is an integer number (9215760).

Almost surely, 2^72918353 is an apocalyptic number.

It is an amenable number.

72918353 is a deficient number, since it is larger than the sum of its proper divisors (807727).

72918353 is a wasteful number, since it uses less digits than its factorization.

72918353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2287.

The product of its digits is 45360, while the sum is 38.

The square root of 72918353 is about 8539.2243792982. The cubic root of 72918353 is about 417.7780484951.

The spelling of 72918353 in words is "seventy-two million, nine hundred eighteen thousand, three hundred fifty-three".