72768035 has 8 divisors (see below), whose sum is σ = 87377136. Its totient is φ = 58177440.

The previous prime is 72768023. The next prime is 72768061. The reversal of 72768035 is 53086727.

It is a happy number.

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

It is not a de Polignac number, because 72768035 - 2²² = 68573731 is a prime.

It is a super-2 number, since 2×72768035² = 10590373835522450, which contains 22 as substring.

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 72768035.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6437 + ... + 13673.

It is an arithmetic number, because the mean of its divisors is an integer number (10922142).

Almost surely, 2^72768035 is an apocalyptic number.

72768035 is a deficient number, since it is larger than the sum of its proper divisors (14609101).

72768035 is a wasteful number, since it uses less digits than its factorization.

72768035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9253.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 72768035 is about 8530.4182195248. The cubic root of 72768035 is about 417.4907739365.

The spelling of 72768035 in words is "seventy-two million, seven hundred sixty-eight thousand, thirty-five".