102072761 has 8 divisors (see below), whose sum is σ = 118253184. Its totient is φ = 86292000.

The previous prime is 102072697. The next prime is 102072793. The reversal of 102072761 is 167270201.

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 102072761 - 2⁶ = 102072697 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102072761.

It is not an unprimeable number, because it can be changed into a prime (102072361) 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, 99365 + ... + 100386.

It is an arithmetic number, because the mean of its divisors is an integer number (14781648).

Almost surely, 2^102072761 is an apocalyptic number.

It is an amenable number.

102072761 is a deficient number, since it is larger than the sum of its proper divisors (16180423).

102072761 is an equidigital number, since it uses as much as digits as its factorization.

102072761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199831.

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 102072761 is about 10103.1065024575. The cubic root of 102072761 is about 467.3439455498.

The spelling of 102072761 in words is "one hundred two million, seventy-two thousand, seven hundred sixty-one".