19845072 has 60 divisors (see below), whose sum is σ = 59816484. Its totient is φ = 6105600.

The previous prime is 19845047. The next prime is 19845073. The reversal of 19845072 is 27054891.

It can be written as a sum of positive squares in 2 ways, for example, as 9960336 + 9884736 = 3156^2 + 3144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19845073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3429 + ... + 7172.

Almost surely, 2^19845072 is an apocalyptic number.

19845072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19845072 is an abundant number, since it is smaller than the sum of its proper divisors (39971412).

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

19845072 is a wasteful number, since it uses less digits than its factorization.

19845072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10628 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 19845072 is about 4454.7808026883. The cubic root of 19845072 is about 270.7390451954.

It can be divided in two parts, 198450 and 72, that multiplied together give a square (14288400 = 3780²).

The spelling of 19845072 in words is "nineteen million, eight hundred forty-five thousand, seventy-two".