72346705 has 8 divisors (see below), whose sum is σ = 86944104. Its totient is φ = 57792000.

The previous prime is 72346669. The next prime is 72346709. The reversal of 72346705 is 50764327.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 7817616 + 64529089 = 2796^2 + 8033^2 .

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

It is not a de Polignac number, because 72346705 - 2⁹ = 72346193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72346709) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6816 + ... + 13825.

It is an arithmetic number, because the mean of its divisors is an integer number (10868013).

Almost surely, 2^72346705 is an apocalyptic number.

It is an amenable number.

72346705 is a deficient number, since it is larger than the sum of its proper divisors (14597399).

72346705 is a wasteful number, since it uses less digits than its factorization.

72346705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21347.

The product of its (nonzero) digits is 35280, while the sum is 34.

The square root of 72346705 is about 8505.6866271924. The cubic root of 72346705 is about 416.6834507017.

The spelling of 72346705 in words is "seventy-two million, three hundred forty-six thousand, seven hundred five".