72953905 has 8 divisors (see below), whose sum is σ = 87633000. Its totient is φ = 58304256.

The previous prime is 72953897. The next prime is 72953957. The reversal of 72953905 is 50935927.

It can be written as a sum of positive squares in 4 ways, for example, as 431649 + 72522256 = 657^2 + 8516^2 .

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 72953905 - 2³ = 72953897 is a prime.

It is a super-3 number, since 3×72953905³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1480 + ... + 12169.

It is an arithmetic number, because the mean of its divisors is an integer number (10954125).

Almost surely, 2^72953905 is an apocalyptic number.

It is an amenable number.

72953905 is a deficient number, since it is larger than the sum of its proper divisors (14679095).

72953905 is a wasteful number, since it uses less digits than its factorization.

72953905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14723.

The product of its (nonzero) digits is 85050, while the sum is 40.

The square root of 72953905 is about 8541.3058135159. The cubic root of 72953905 is about 417.8459346141.

The spelling of 72953905 in words is "seventy-two million, nine hundred fifty-three thousand, nine hundred five".