102072 has 16 divisors (see below), whose sum is σ = 255240. Its totient is φ = 34016.

The previous prime is 102071. The next prime is 102077. The reversal of 102072 is 270201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102071) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2103 + ... + 2150.

2¹⁰²⁰⁷² is an apocalyptic number.

102072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102072 is an abundant number, since it is smaller than the sum of its proper divisors (153168).

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

102072 is a wasteful number, since it uses less digits than its factorization.

102072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4262 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 102072 is about 319.4870889410. The cubic root of 102072 is about 46.7342784125.

Adding to 102072 its reverse (270201), we get a palindrome (372273).

The spelling of 102072 in words is "one hundred two thousand, seventy-two", and thus it is an iban number.