72741069040 has 40 divisors (see below), whose sum is σ = 172721355840. Its totient is φ = 28477353216.

The previous prime is 72741069017. The next prime is 72741069091. The reversal of 72741069040 is 4096014727.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 72741068984 and 72741069002.

It is a congruent number.

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, 9669255 + ... + 9676774.

It is an arithmetic number, because the mean of its divisors is an integer number (4318033896).

Almost surely, 2^72741069040 is an apocalyptic number.

It is an amenable number.

72741069040 is an abundant number, since it is smaller than the sum of its proper divisors (99980286800).

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

72741069040 is a wasteful number, since it uses less digits than its factorization.

72741069040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19346089 (or 19346083 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 72741069040 in words is "seventy-two billion, seven hundred forty-one million, sixty-nine thousand, forty".