1972224 has 72 divisors (see below), whose sum is σ = 5749380. Its totient is φ = 651264.

The previous prime is 1972207. The next prime is 1972231. The reversal of 1972224 is 4222791.

1972224 = T₁₃₆ + T₁₃₇ + ... + T₂₄₂.

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

Its product of digits (2016) is a multiple of the sum of its prime divisors (112).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18379 + ... + 18485.

2^1972224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1972224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874690).

1972224 is an abundant number, since it is smaller than the sum of its proper divisors (3777156).

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

1972224 is a wasteful number, since it uses less digits than its factorization.

1972224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 1972224 is about 1404.3589284795. The cubic root of 1972224 is about 125.4061244080.

The spelling of 1972224 in words is "one million, nine hundred seventy-two thousand, two hundred twenty-four".