19185972 has 48 divisors (see below), whose sum is σ = 50756160. Its totient is φ = 5591808.

The previous prime is 19185941. The next prime is 19186003. The reversal of 19185972 is 27958191.

It is an interprime number because it is at equal distance from previous prime (19185941) and next prime (19186003).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273 + ... + 6200.

It is an arithmetic number, because the mean of its divisors is an integer number (1057420).

Almost surely, 2^19185972 is an apocalyptic number.

19185972 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 19185972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25378080).

19185972 is an abundant number, since it is smaller than the sum of its proper divisors (31570188).

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

19185972 is a wasteful number, since it uses less digits than its factorization.

19185972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6512 (or 6510 counting only the distinct ones).

The product of its digits is 45360, while the sum is 42.

The square root of 19185972 is about 4380.1794483788. The cubic root of 19185972 is about 267.7079502176.

The spelling of 19185972 in words is "nineteen million, one hundred eighty-five thousand, nine hundred seventy-two".