72801653760 has 528 divisors, whose sum is σ = 277696216512. Its totient is φ = 17634017280.

The previous prime is 72801653741. The next prime is 72801653767. The reversal of 72801653760 is 6735610827.

It is a tau number, because it is divible by the number of its divisors (528).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72801653767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61331887 + ... + 61333073.

It is an arithmetic number, because the mean of its divisors is an integer number (525939804).

Almost surely, 2^72801653760 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 72801653760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138848108256).

72801653760 is an abundant number, since it is smaller than the sum of its proper divisors (204894562752).

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

72801653760 is a wasteful number, since it uses less digits than its factorization.

72801653760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 72801653760 in words is "seventy-two billion, eight hundred one million, six hundred fifty-three thousand, seven hundred sixty".