1361871072 has 72 divisors (see below), whose sum is σ = 3911249160. Its totient is φ = 449452800.

The previous prime is 1361871067. The next prime is 1361871073. The reversal of 1361871072 is 2701781631.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1361871073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5679 + ... + 52497.

It is an arithmetic number, because the mean of its divisors is an integer number (54322905).

Almost surely, 2^1361871072 is an apocalyptic number.

1361871072 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 1361871072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1955624580).

1361871072 is an abundant number, since it is smaller than the sum of its proper divisors (2549378088).

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

1361871072 is a wasteful number, since it uses less digits than its factorization.

1361871072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46936 (or 46925 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 1361871072 is about 36903.5373914209. The cubic root of 1361871072 is about 1108.4395116298.

The spelling of 1361871072 in words is "one billion, three hundred sixty-one million, eight hundred seventy-one thousand, seventy-two".