72056965 has 8 divisors (see below), whose sum is σ = 91554840. Its totient is φ = 54254592.

The previous prime is 72056947. The next prime is 72057001. The reversal of 72056965 is 56965027.

It can be written as a sum of positive squares in 4 ways, for example, as 13089924 + 58967041 = 3618^2 + 7679^2 .

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 72056965 - 2¹³ = 72048773 is a prime.

It is a super-2 number, since 2×72056965² = 10384412410022450, which contains 22 as substring.

It is a congruent number.

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, 423780 + ... + 423949.

It is an arithmetic number, because the mean of its divisors is an integer number (11444355).

Almost surely, 2^72056965 is an apocalyptic number.

It is an amenable number.

72056965 is a deficient number, since it is larger than the sum of its proper divisors (19497875).

72056965 is a wasteful number, since it uses less digits than its factorization.

72056965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847751.

The product of its (nonzero) digits is 113400, while the sum is 40.

The square root of 72056965 is about 8488.6374053790. The cubic root of 72056965 is about 416.1264504800.

The spelling of 72056965 in words is "seventy-two million, fifty-six thousand, nine hundred sixty-five".