72135377 has 8 divisors (see below), whose sum is σ = 72912576. Its totient is φ = 71362512.

The previous prime is 72135373. The next prime is 72135407. The reversal of 72135377 is 77353127.

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 72135377 - 2² = 72135373 is a prime.

It is a super-2 number, since 2×72135377² = 10407025229864258, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (72135373) 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, 40418 + ... + 42164.

It is an arithmetic number, because the mean of its divisors is an integer number (9114072).

Almost surely, 2^72135377 is an apocalyptic number.

It is an amenable number.

72135377 is a deficient number, since it is larger than the sum of its proper divisors (777199).

72135377 is a wasteful number, since it uses less digits than its factorization.

72135377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2167.

The product of its digits is 30870, while the sum is 35.

The square root of 72135377 is about 8493.2547942470. The cubic root of 72135377 is about 416.2773379466.

The spelling of 72135377 in words is "seventy-two million, one hundred thirty-five thousand, three hundred seventy-seven".