72165050 has 48 divisors (see below), whose sum is σ = 140180760. Its totient is φ = 27605760.

The previous prime is 72165031. The next prime is 72165073. The reversal of 72165050 is 5056127.

It can be written as a sum of positive squares in 12 ways, for example, as 982081 + 71182969 = 991^2 + 8437^2 .

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227492 + ... + 227808.

Almost surely, 2^72165050 is an apocalyptic number.

72165050 is a deficient number, since it is larger than the sum of its proper divisors (68015710).

72165050 is a wasteful number, since it uses less digits than its factorization.

72165050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 72165050 is about 8495.0014714537. The cubic root of 72165050 is about 416.3344088997.

The spelling of 72165050 in words is "seventy-two million, one hundred sixty-five thousand, fifty".