72006166 has 16 divisors (see below), whose sum is σ = 111245904. Its totient is φ = 34935264.

The previous prime is 72006157. The next prime is 72006191. The reversal of 72006166 is 66160027.

It is a super-3 number, since 3×72006166³ (a number of 25 digits) contains 333 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, 10836 + ... + 16168.

It is an arithmetic number, because the mean of its divisors is an integer number (6952869).

Almost surely, 2^72006166 is an apocalyptic number.

72006166 is a deficient number, since it is larger than the sum of its proper divisors (39239738).

72006166 is a wasteful number, since it uses less digits than its factorization.

72006166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5535.

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 72006166 is about 8485.6447014944. The cubic root of 72006166 is about 416.0286400092.

It can be divided in two parts, 7200 and 6166, that added together give a triangular number (13366 = T₁₆₃).

The spelling of 72006166 in words is "seventy-two million, six thousand, one hundred sixty-six".