19197072 has 60 divisors (see below), whose sum is σ = 55589820. Its totient is φ = 6177024.

The previous prime is 19197071. The next prime is 19197089. The reversal of 19197072 is 27079191.

It can be written as a sum of positive squares in 2 ways, for example, as 5089536 + 14107536 = 2256^2 + 3756^2 .

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 (19197071) 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, 1878 + ... + 6474.

It is an arithmetic number, because the mean of its divisors is an integer number (926497).

Almost surely, 2^19197072 is an apocalyptic number.

19197072 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 19197072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27794910).

19197072 is an abundant number, since it is smaller than the sum of its proper divisors (36392748).

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

19197072 is a wasteful number, since it uses less digits than its factorization.

19197072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The square root of 19197072 is about 4381.4463365423. The cubic root of 19197072 is about 267.7595675376.

The spelling of 19197072 in words is "nineteen million, one hundred ninety-seven thousand, seventy-two".