1372832064 has 140 divisors (see below), whose sum is σ = 4101329364. Its totient is φ = 454035456.

The previous prime is 1372832057. The next prime is 1372832107. The reversal of 1372832064 is 4602382731.

It is a happy number.

1372832064 is a `hidden beast` number, since 1 + 372 + 83 + 206 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 871430400 + 501401664 = 29520^2 + 22392^2 .

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 19 ways as a sum of consecutive naturals, for example, 709242 + ... + 711174.

Almost surely, 2^1372832064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1372832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2050664682).

1372832064 is an abundant number, since it is smaller than the sum of its proper divisors (2728497300).

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

1372832064 is a wasteful number, since it uses less digits than its factorization.

1372832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1372832064 is about 37051.7484607677. The cubic root of 1372832064 is about 1111.4053201108.

The spelling of 1372832064 in words is "one billion, three hundred seventy-two million, eight hundred thirty-two thousand, sixty-four".