72157435 has 32 divisors (see below), whose sum is σ = 105535872. Its totient is φ = 46233600.

The previous prime is 72157411. The next prime is 72157439. The reversal of 72157435 is 53475127.

It is not a de Polignac number, because 72157435 - 2¹³ = 72149243 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72157435.

It is not an unprimeable number, because it can be changed into a prime (72157439) 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 31 ways as a sum of consecutive naturals, for example, 102585 + ... + 103285.

It is an arithmetic number, because the mean of its divisors is an integer number (3297996).

Almost surely, 2^72157435 is an apocalyptic number.

72157435 is a deficient number, since it is larger than the sum of its proper divisors (33378437).

72157435 is a wasteful number, since it uses less digits than its factorization.

72157435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903.

The product of its digits is 29400, while the sum is 34.

The square root of 72157435 is about 8494.5532548804. The cubic root of 72157435 is about 416.3197642388.

The spelling of 72157435 in words is "seventy-two million, one hundred fifty-seven thousand, four hundred thirty-five".