102672792 has 64 divisors (see below), whose sum is σ = 301989600. Its totient is φ = 32209920.

The previous prime is 102672721. The next prime is 102672797. The reversal of 102672792 is 297276201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102672797) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10309 + ... + 17652.

Almost surely, 2^102672792 is an apocalyptic number.

102672792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102672792 is an abundant number, since it is smaller than the sum of its proper divisors (199316808).

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

102672792 is a wasteful number, since it uses less digits than its factorization.

102672792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27993 (or 27983 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 102672792 is about 10132.7583608808. The cubic root of 102672792 is about 468.2579117523.

The spelling of 102672792 in words is "one hundred two million, six hundred seventy-two thousand, seven hundred ninety-two".