102672936 has 48 divisors (see below), whose sum is σ = 279770400. Its totient is φ = 34015392.

The previous prime is 102672931. The next prime is 102672959. The reversal of 102672936 is 639276201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 102672936.

It is not an unprimeable number, because it can be changed into a prime (102672931) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7755 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (5828550).

Almost surely, 2^102672936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102672936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139885200).

102672936 is an abundant number, since it is smaller than the sum of its proper divisors (177097464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102672936 is a wasteful number, since it uses less digits than its factorization.

102672936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8718 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 102672936 is about 10132.7654665447. The cubic root of 102672936 is about 468.2581306649.

It can be divided in two parts, 10267 and 2936, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 102672936 in words is "one hundred two million, six hundred seventy-two thousand, nine hundred thirty-six".