72506214 has 24 divisors (see below), whose sum is σ = 171378792. Its totient is φ = 21971520.

The previous prime is 72506201. The next prime is 72506219. The reversal of 72506214 is 41260527.

It is a super-2 number, since 2×72506214² = 10514302137227592, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72506219) 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 11 ways as a sum of consecutive naturals, for example, 182899 + ... + 183294.

It is an arithmetic number, because the mean of its divisors is an integer number (7140783).

Almost surely, 2^72506214 is an apocalyptic number.

72506214 is an abundant number, since it is smaller than the sum of its proper divisors (98872578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72506214 is a wasteful number, since it uses less digits than its factorization.

72506214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366212 (or 366209 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72506214 is about 8515.0580737890. The cubic root of 72506214 is about 416.9894585262.

The spelling of 72506214 in words is "seventy-two million, five hundred six thousand, two hundred fourteen".