19215072 has 72 divisors (see below), whose sum is σ = 55154736. Its totient is φ = 6345216.

The previous prime is 19215067. The next prime is 19215089. The reversal of 19215072 is 27051291.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39213 + ... + 39699.

It is an arithmetic number, because the mean of its divisors is an integer number (766038).

Almost surely, 2^19215072 is an apocalyptic number.

19215072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 4383×4384.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19215072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27577368).

19215072 is an abundant number, since it is smaller than the sum of its proper divisors (35939664).

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

19215072 is a wasteful number, since it uses less digits than its factorization.

19215072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 19215072 is about 4383.4999714840. The cubic root of 19215072 is about 267.8432290220.

The spelling of 19215072 in words is "nineteen million, two hundred fifteen thousand, seventy-two".