19836072 has 72 divisors (see below), whose sum is σ = 55370250. Its totient is φ = 6414912.

The previous prime is 19836043. The next prime is 19836079. The reversal of 19836072 is 27063891.

It can be written as a sum of positive squares in only one way, i.e., 19236996 + 599076 = 4386^2 + 774^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (19836079) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 133054 + ... + 133202.

Almost surely, 2^19836072 is an apocalyptic number.

19836072 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 19836072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27685125).

19836072 is an abundant number, since it is smaller than the sum of its proper divisors (35534178).

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

19836072 is a wasteful number, since it uses less digits than its factorization.

19836072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 19836072 is about 4453.7705374211. The cubic root of 19836072 is about 270.6981111060.

The spelling of 19836072 in words is "nineteen million, eight hundred thirty-six thousand, seventy-two".