72501414 has 16 divisors (see below), whose sum is σ = 145297152. Its totient is φ = 24118088.

The previous prime is 72501409. The next prime is 72501419. The reversal of 72501414 is 41410527.

It is an interprime number because it is at equal distance from previous prime (72501409) and next prime (72501419).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72501419) 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, 8994 + ... + 15029.

It is an arithmetic number, because the mean of its divisors is an integer number (9081072).

Almost surely, 2^72501414 is an apocalyptic number.

72501414 is an abundant number, since it is smaller than the sum of its proper divisors (72795738).

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

72501414 is a wasteful number, since it uses less digits than its factorization.

72501414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24531.

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

The square root of 72501414 is about 8514.7762154974. The cubic root of 72501414 is about 416.9802565858.

The spelling of 72501414 in words is "seventy-two million, five hundred one thousand, four hundred fourteen".