72015414 has 16 divisors (see below), whose sum is σ = 144607680. Its totient is φ = 23909000.

The previous prime is 72015413. The next prime is 72015443. The reversal of 72015414 is 41451027.

It is a super-3 number, since 3×72015414³ (a number of 25 digits) contains 333 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 (72015413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22404 + ... + 25415.

It is an arithmetic number, because the mean of its divisors is an integer number (9037980).

Almost surely, 2^72015414 is an apocalyptic number.

72015414 is an abundant number, since it is smaller than the sum of its proper divisors (72592266).

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

72015414 is a wasteful number, since it uses less digits than its factorization.

72015414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48075.

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 72015414 is about 8486.1896042924. The cubic root of 72015414 is about 416.0464499107.

The spelling of 72015414 in words is "seventy-two million, fifteen thousand, four hundred fourteen".