1972307232 has 360 divisors, whose sum is σ = 6898296636. Its totient is φ = 550996992.

The previous prime is 1972307231. The next prime is 1972307243. The reversal of 1972307232 is 2327032791.

1972307232 is a `hidden beast` number, since 197 + 230 + 7 + 232 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1687237776 + 285069456 = 41076^2 + 16884^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1972307231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6731278 + ... + 6731570.

Almost surely, 2^1972307232 is an apocalyptic number.

1972307232 is a gapful number since it is divisible by the number (12) 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 1972307232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3449148318).

1972307232 is an abundant number, since it is smaller than the sum of its proper divisors (4925989404).

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

1972307232 is a wasteful number, since it uses less digits than its factorization.

1972307232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 1972307232 is about 44410.6657459669. The cubic root of 1972307232 is about 1254.0788851728.

The spelling of 1972307232 in words is "one billion, nine hundred seventy-two million, three hundred seven thousand, two hundred thirty-two".