100072 has 16 divisors (see below), whose sum is σ = 214560. Its totient is φ = 42864.

The previous prime is 100069. The next prime is 100103. The reversal of 100072 is 270001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 838 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (13410).

2¹⁰⁰⁰⁷² is an apocalyptic number.

It is an amenable number.

100072 is an abundant number, since it is smaller than the sum of its proper divisors (114488).

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

100072 is a wasteful number, since it uses less digits than its factorization.

100072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1800 (or 1796 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 10.

The square root of 100072 is about 316.3415875284. The cubic root of 100072 is about 46.4270254768.

Adding to 100072 its reverse (270001), we get a palindrome (370073).

The spelling of 100072 in words is "one hundred thousand, seventy-two", and thus it is an iban number.