72014829 has 16 divisors (see below), whose sum is σ = 99801600. Its totient is φ = 46140480.

The previous prime is 72014827. The next prime is 72014843. The reversal of 72014829 is 92841027.

It is a happy number.

It is not a de Polignac number, because 72014829 - 2¹ = 72014827 is a prime.

It is a super-2 number, since 2×72014829² = 10372271191798482, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 72014829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72014827) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11259 + ... + 16455.

It is an arithmetic number, because the mean of its divisors is an integer number (6237600).

Almost surely, 2^72014829 is an apocalyptic number.

It is an amenable number.

72014829 is a deficient number, since it is larger than the sum of its proper divisors (27786771).

72014829 is a wasteful number, since it uses less digits than its factorization.

72014829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5380.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 72014829 is about 8486.1551364561. The cubic root of 72014829 is about 416.0453233563.

The spelling of 72014829 in words is "seventy-two million, fourteen thousand, eight hundred twenty-nine".