72082814 has 8 divisors (see below), whose sum is σ = 108194448. Its totient is φ = 36018000.

The previous prime is 72082811. The next prime is 72082817. The reversal of 72082814 is 41828027.

It is an interprime number because it is at equal distance from previous prime (72082811) and next prime (72082817).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72082811) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7562 + ... + 14189.

It is an arithmetic number, because the mean of its divisors is an integer number (13524306).

Almost surely, 2^72082814 is an apocalyptic number.

72082814 is a deficient number, since it is larger than the sum of its proper divisors (36111634).

72082814 is a wasteful number, since it uses less digits than its factorization.

72082814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23410.

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 72082814 is about 8490.1598335956. The cubic root of 72082814 is about 416.1762035546.

The spelling of 72082814 in words is "seventy-two million, eighty-two thousand, eight hundred fourteen".