72741161012832 has 72 divisors (see below), whose sum is σ = 222769805613264. Its totient is φ = 22381895695104.

The previous prime is 72741161012813. The next prime is 72741161012873. The reversal of 72741161012832 is 23821016114727.

It is a happy number.

72741161012832 is a `hidden beast` number, since 7 + 2 + 7 + 4 + 1 + 1 + 610 + 1 + 28 + 3 + 2 = 666.

72741161012832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9714360708 + ... + 9714368195.

It is an arithmetic number, because the mean of its divisors is an integer number (3094025077962).

Almost surely, 2^{72741161012832} is an apocalyptic number.

72741161012832 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

72741161012832 is an abundant number, since it is smaller than the sum of its proper divisors (150028644600432).

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

72741161012832 is a wasteful number, since it uses less digits than its factorization.

72741161012832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19428728932 (or 19428728921 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 72741161012832 in words is "seventy-two trillion, seven hundred forty-one billion, one hundred sixty-one million, twelve thousand, eight hundred thirty-two".