72468214 has 48 divisors (see below), whose sum is σ = 136239840. Its totient is φ = 28304640.

The previous prime is 72468199. The next prime is 72468241. The reversal of 72468214 is 41286427.

72468214 = 847² + 848² + ... + 937².

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72468214.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257754 + ... + 258034.

It is an arithmetic number, because the mean of its divisors is an integer number (2838330).

Almost surely, 2^72468214 is an apocalyptic number.

72468214 is a deficient number, since it is larger than the sum of its proper divisors (63771626).

72468214 is a wasteful number, since it uses less digits than its factorization.

72468214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 412 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 72468214 is about 8512.8264401431. The cubic root of 72468214 is about 416.9165987093.

The spelling of 72468214 in words is "seventy-two million, four hundred sixty-eight thousand, two hundred fourteen".