1972712448 has 176 divisors, whose sum is σ = 6677477760. Its totient is φ = 563576832.

The previous prime is 1972712447. The next prime is 1972712459. The reversal of 1972712448 is 8442172791.

1972712448 is a `hidden beast` number, since 197 + 2 + 7 + 12 + 448 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1972712447) 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, 188440 + ... + 198632.

Almost surely, 2^1972712448 is an apocalyptic number.

1972712448 is a gapful number since it is divisible by the number (18) 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 1972712448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3338738880).

1972712448 is an abundant number, since it is smaller than the sum of its proper divisors (4704765312).

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

1972712448 is a wasteful number, since it uses less digits than its factorization.

1972712448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10205 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 1972712448 is about 44415.2276589910. The cubic root of 1972712448 is about 1254.1647639553.

The spelling of 1972712448 in words is "one billion, nine hundred seventy-two million, seven hundred twelve thousand, four hundred forty-eight".