72566234 has 48 divisors (see below), whose sum is σ = 127240632. Its totient is φ = 30910464.

The previous prime is 72566231. The next prime is 72566237. The reversal of 72566234 is 43266527.

It is an interprime number because it is at equal distance from previous prime (72566231) and next prime (72566237).

It can be written as a sum of positive squares in 12 ways, for example, as 12271009 + 60295225 = 3503^2 + 7765^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 72566194 and 72566203.

It is not an unprimeable number, because it can be changed into a prime (72566231) by changing a digit.

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, 419372 + ... + 419544.

Almost surely, 2^72566234 is an apocalyptic number.

72566234 is a deficient number, since it is larger than the sum of its proper divisors (54674398).

72566234 is a wasteful number, since it uses less digits than its factorization.

72566234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 278 counting only the distinct ones).

The product of its digits is 60480, while the sum is 35.

The square root of 72566234 is about 8518.5816894598. The cubic root of 72566234 is about 417.1044868490.

The spelling of 72566234 in words is "seventy-two million, five hundred sixty-six thousand, two hundred thirty-four".