102732672 has 64 divisors (see below), whose sum is σ = 311875200. Its totient is φ = 29351424.

The previous prime is 102732671. The next prime is 102732673. The reversal of 102732672 is 276237201.

It is an interprime number because it is at equal distance from previous prime (102732671) and next prime (102732673).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102732671) 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, 16422 + ... + 21797.

It is an arithmetic number, because the mean of its divisors is an integer number (4873050).

Almost surely, 2^102732672 is an apocalyptic number.

102732672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102732672 is an abundant number, since it is smaller than the sum of its proper divisors (209142528).

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

102732672 is an equidigital number, since it uses as much as digits as its factorization.

102732672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38243 (or 38231 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 102732672 is about 10135.7127031107. The cubic root of 102732672 is about 468.3489252656.

Adding to 102732672 its reverse (276237201), we get a palindrome (378969873).

The spelling of 102732672 in words is "one hundred two million, seven hundred thirty-two thousand, six hundred seventy-two".