1372868352 has 216 divisors, whose sum is σ = 4252051440. Its totient is φ = 441262080.

The previous prime is 1372868347. The next prime is 1372868359. The reversal of 1372868352 is 2538682731.

1372868352 is a `hidden beast` number, since 13 + 7 + 286 + 8 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a junction number, because it is equal to n+sod(n) for n = 1372868298 and 1372868307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1372868359) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1803652 + ... + 1804412.

Almost surely, 2^1372868352 is an apocalyptic number.

1372868352 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 1372868352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2126025720).

1372868352 is an abundant number, since it is smaller than the sum of its proper divisors (2879183088).

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

1372868352 is an frugal number, since it uses more digits than its factorization.

1372868352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 795 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1372868352 is about 37052.2381510213. The cubic root of 1372868352 is about 1111.4151125979.

The spelling of 1372868352 in words is "one billion, three hundred seventy-two million, eight hundred sixty-eight thousand, three hundred fifty-two".