72157335 has 16 divisors (see below), whose sum is σ = 118268640. Its totient is φ = 37544960.

The previous prime is 72157331. The next prime is 72157339. The reversal of 72157335 is 53375127.

It is an interprime number because it is at equal distance from previous prime (72157331) and next prime (72157339).

It is not a de Polignac number, because 72157335 - 2² = 72157331 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72157296 and 72157305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72157331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58050 + ... + 59279.

It is an arithmetic number, because the mean of its divisors is an integer number (7391790).

Almost surely, 2^72157335 is an apocalyptic number.

72157335 is a deficient number, since it is larger than the sum of its proper divisors (46111305).

72157335 is a wasteful number, since it uses less digits than its factorization.

72157335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117378.

The product of its digits is 22050, while the sum is 33.

The square root of 72157335 is about 8494.5473687537. The cubic root of 72157335 is about 416.3195719186.

The spelling of 72157335 in words is "seventy-two million, one hundred fifty-seven thousand, three hundred thirty-five".