19827972 has 72 divisors (see below), whose sum is σ = 52532480. Its totient is φ = 6298560.

The previous prime is 19827959. The next prime is 19828021. The reversal of 19827972 is 27972891.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121563 + ... + 121725.

Almost surely, 2^19827972 is an apocalyptic number.

19827972 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 19827972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26266240).

19827972 is an abundant number, since it is smaller than the sum of its proper divisors (32704508).

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

19827972 is a wasteful number, since it uses less digits than its factorization.

19827972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 19827972 is about 4452.8611027069. The cubic root of 19827972 is about 270.6612598379.

The spelling of 19827972 in words is "nineteen million, eight hundred twenty-seven thousand, nine hundred seventy-two".