1372167540 has 108 divisors (see below), whose sum is σ = 4322521476. Its totient is φ = 365876352.

The previous prime is 1372167527. The next prime is 1372167583. The reversal of 1372167540 is 457612731.

It is a happy number.

1372167540 is a `hidden beast` number, since 1 + 37 + 21 + 67 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 907937424 + 464230116 = 30132^2 + 21546^2 .

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a junction number, because it is equal to n+sod(n) for n = 1372167495 and 1372167504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125992 + ... + 136448.

It is an arithmetic number, because the mean of its divisors is an integer number (40023347).

Almost surely, 2^1372167540 is an apocalyptic number.

1372167540 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 1372167540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161260738).

1372167540 is an abundant number, since it is smaller than the sum of its proper divisors (2950353936).

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

1372167540 is an equidigital number, since it uses as much as digits as its factorization.

1372167540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10490 (or 10467 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 1372167540 is about 37042.7798632878. The cubic root of 1372167540 is about 1111.2259646681.

The spelling of 1372167540 in words is "one billion, three hundred seventy-two million, one hundred sixty-seven thousand, five hundred forty".