72692953056 has 144 divisors (see below), whose sum is σ = 215521081776. Its totient is φ = 23220707328.

The previous prime is 72692953027. The next prime is 72692953061. The reversal of 72692953056 is 65035929627.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 72692952993 and 72692953011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 600976 + ... + 711728.

It is an arithmetic number, because the mean of its divisors is an integer number (1496674179).

Almost surely, 2^72692953056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72692953056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107760540888).

72692953056 is an abundant number, since it is smaller than the sum of its proper divisors (142828128720).

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

72692953056 is a wasteful number, since it uses less digits than its factorization.

72692953056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110865 (or 110854 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 72692953056 in words is "seventy-two billion, six hundred ninety-two million, nine hundred fifty-three thousand, fifty-six".