72641415 has 64 divisors (see below), whose sum is σ = 146488320. Its totient is φ = 29859840.

The previous prime is 72641363. The next prime is 72641417. The reversal of 72641415 is 51414627.

It is not a de Polignac number, because 72641415 - 2⁹ = 72640903 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72641417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125607 + ... + 126183.

It is an arithmetic number, because the mean of its divisors is an integer number (2288880).

Almost surely, 2^72641415 is an apocalyptic number.

72641415 is an abundant number, since it is smaller than the sum of its proper divisors (73846905).

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

72641415 is a wasteful number, since it uses less digits than its factorization.

72641415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its digits is 6720, while the sum is 30.

The square root of 72641415 is about 8522.9933122114. The cubic root of 72641415 is about 417.2484817785.

The spelling of 72641415 in words is "seventy-two million, six hundred forty-one thousand, four hundred fifteen".