1072436124192 has 48 divisors (see below), whose sum is σ = 2817399060000. Its totient is φ = 357192456192.

The previous prime is 1072436124167. The next prime is 1072436124217. The reversal of 1072436124192 is 2914216342701.

It is an interprime number because it is at equal distance from previous prime (1072436124167) and next prime (1072436124217).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4352158 + ... + 4591965.

It is an arithmetic number, because the mean of its divisors is an integer number (58695813750).

Almost surely, 2^{1072436124192} is an apocalyptic number.

1072436124192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1072436124192 is an abundant number, since it is smaller than the sum of its proper divisors (1744962935808).

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

1072436124192 is a wasteful number, since it uses less digits than its factorization.

1072436124192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8945385 (or 8945377 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1072436124192 in words is "one trillion, seventy-two billion, four hundred thirty-six million, one hundred twenty-four thousand, one hundred ninety-two".