1972572160 has 208 divisors, whose sum is σ = 5284177920. Its totient is φ = 701890560.

The previous prime is 1972572143. The next prime is 1972572163. The reversal of 1972572160 is 612752791.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1972572163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8253321 + ... + 8253559.

Almost surely, 2^1972572160 is an apocalyptic number.

1972572160 is a gapful number since it is divisible by the number (10) 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 1972572160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2642088960).

1972572160 is an abundant number, since it is smaller than the sum of its proper divisors (3311605760).

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

1972572160 is a wasteful number, since it uses less digits than its factorization.

1972572160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 1972572160 is about 44413.6483527305. The cubic root of 1972572160 is about 1254.1350335812.

The spelling of 1972572160 in words is "one billion, nine hundred seventy-two million, five hundred seventy-two thousand, one hundred sixty".