102672 has 60 divisors (see below), whose sum is σ = 309504. Its totient is φ = 31680.

The previous prime is 102667. The next prime is 102673. The reversal of 102672 is 276201.

It is a happy number.

It is a super-4 number, since 4×102672⁴ (a number of 21 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (102673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3297 + ... + 3327.

2¹⁰²⁶⁷² is an apocalyptic number.

102672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154752).

102672 is an abundant number, since it is smaller than the sum of its proper divisors (206832).

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

102672 is a wasteful number, since it uses less digits than its factorization.

102672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 102672 is about 320.4247181476. The cubic root of 102672 is about 46.8256707729.

Adding to 102672 its reverse (276201), we get a palindrome (378873).

The spelling of 102672 in words is "one hundred two thousand, six hundred seventy-two".