1972071360 has 336 divisors, whose sum is σ = 8041453056. Its totient is φ = 450634752.

The previous prime is 1972071347. The next prime is 1972071377. The reversal of 1972071360 is 631702791.

It is a happy number.

1972071360 is a `hidden beast` number, since 1 + 97 + 207 + 1 + 360 = 666.

1972071360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542509 + ... + 546131.

It is an arithmetic number, because the mean of its divisors is an integer number (23932896).

Almost surely, 2^1972071360 is an apocalyptic number.

1972071360 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 1972071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4020726528).

1972071360 is an abundant number, since it is smaller than the sum of its proper divisors (6069381696).

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

1972071360 is an equidigital number, since it uses as much as digits as its factorization.

1972071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3662 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1972071360 is about 44408.0100882712. The cubic root of 1972071360 is about 1254.0288906144.

The spelling of 1972071360 in words is "one billion, nine hundred seventy-two million, seventy-one thousand, three hundred sixty".