1372114080 has 144 divisors (see below), whose sum is σ = 4855896864. Its totient is φ = 365886720.

The previous prime is 1372114049. The next prime is 1372114087. The reversal of 1372114080 is 804112731.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1372114087) 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, 21235 + ... + 56525.

It is an arithmetic number, because the mean of its divisors is an integer number (33721506).

Almost surely, 2^1372114080 is an apocalyptic number.

1372114080 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 1372114080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2427948432).

1372114080 is an abundant number, since it is smaller than the sum of its proper divisors (3483782784).

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

1372114080 is an equidigital number, since it uses as much as digits as its factorization.

1372114080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35321 (or 35301 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1372114080 is about 37042.0582581476. The cubic root of 1372114080 is about 1111.2115332643.

The spelling of 1372114080 in words is "one billion, three hundred seventy-two million, one hundred fourteen thousand, eighty".