72415759 has 8 divisors (see below), whose sum is σ = 78300432. Its totient is φ = 66576000.

The previous prime is 72415751. The next prime is 72415769. The reversal of 72415759 is 95751427.

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

It is a cyclic number.

It is not a de Polignac number, because 72415759 - 2³ = 72415751 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72415751) 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 7 ways as a sum of consecutive naturals, for example, 7834 + ... + 14359.

It is an arithmetic number, because the mean of its divisors is an integer number (9787554).

Almost surely, 2^72415759 is an apocalyptic number.

72415759 is a deficient number, since it is larger than the sum of its proper divisors (5884673).

72415759 is a wasteful number, since it uses less digits than its factorization.

72415759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22457.

The product of its digits is 88200, while the sum is 40.

The square root of 72415759 is about 8509.7449432988. The cubic root of 72415759 is about 416.8159815435.

The spelling of 72415759 in words is "seventy-two million, four hundred fifteen thousand, seven hundred fifty-nine".