142083360072 has 96 divisors (see below), whose sum is σ = 389429515800. Its totient is φ = 46793269248.

The previous prime is 142083360049. The next prime is 142083360079. The reversal of 142083360072 is 270063380241.

It is a happy number.

142083360072 is a `hidden beast` number, since 1 + 42 + 0 + 8 + 3 + 3 + 600 + 7 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118731241476 + 23352118596 = 344574^2 + 152814^2 .

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

It is not an unprimeable number, because it can be changed into a prime (142083360079) 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, 9174928 + ... + 9190400.

Almost surely, 2^142083360072 is an apocalyptic number.

142083360072 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 142083360072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194714757900).

142083360072 is an abundant number, since it is smaller than the sum of its proper divisors (247346155728).

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

142083360072 is a wasteful number, since it uses less digits than its factorization.

142083360072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17007 (or 17000 counting only the distinct ones).

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

The spelling of 142083360072 in words is "one hundred forty-two billion, eighty-three million, three hundred sixty thousand, seventy-two".