72705345 has 16 divisors (see below), whose sum is σ = 123171840. Its totient is φ = 36495104.

The previous prime is 72705329. The next prime is 72705361. The reversal of 72705345 is 54350727.

It is an interprime number because it is at equal distance from previous prime (72705329) and next prime (72705361).

It is a cyclic number.

It is not a de Polignac number, because 72705345 - 2⁴ = 72705329 is a prime.

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, 142305 + ... + 142814.

It is an arithmetic number, because the mean of its divisors is an integer number (7698240).

Almost surely, 2^72705345 is an apocalyptic number.

It is an amenable number.

72705345 is a deficient number, since it is larger than the sum of its proper divisors (50466495).

72705345 is a wasteful number, since it uses less digits than its factorization.

72705345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285144.

The product of its (nonzero) digits is 29400, while the sum is 33.

The square root of 72705345 is about 8526.7429303340. The cubic root of 72705345 is about 417.3708494113.

The spelling of 72705345 in words is "seventy-two million, seven hundred five thousand, three hundred forty-five".