1972530144 has 432 divisors, whose sum is σ = 6714489600. Its totient is φ = 567710208.

The previous prime is 1972530107. The next prime is 1972530151. The reversal of 1972530144 is 4410352791.

1972530144 is a `hidden beast` number, since 19 + 72 + 530 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1972530099 and 1972530108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24968697 + ... + 24968775.

It is an arithmetic number, because the mean of its divisors is an integer number (15542800).

Almost surely, 2^1972530144 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 1972530144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3357244800).

1972530144 is an abundant number, since it is smaller than the sum of its proper divisors (4741959456).

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

1972530144 is a wasteful number, since it uses less digits than its factorization.

1972530144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1972530144 is about 44413.1753424589. The cubic root of 1972530144 is about 1254.1261291141.

The spelling of 1972530144 in words is "one billion, nine hundred seventy-two million, five hundred thirty thousand, one hundred forty-four".