72727769840 has 160 divisors (see below), whose sum is σ = 194370416640. Its totient is φ = 25029043200.

The previous prime is 72727769833. The next prime is 72727769843. The reversal of 72727769840 is 4896772727.

It is a self number, because there is not a number n which added to its sum of digits gives 72727769840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727769843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24593642 + ... + 24596598.

It is an arithmetic number, because the mean of its divisors is an integer number (1214815104).

Almost surely, 2^72727769840 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 72727769840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97185208320).

72727769840 is an abundant number, since it is smaller than the sum of its proper divisors (121642646800).

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

72727769840 is a wasteful number, since it uses less digits than its factorization.

72727769840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4471 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 16595712, while the sum is 59.

The spelling of 72727769840 in words is "seventy-two billion, seven hundred twenty-seven million, seven hundred sixty-nine thousand, eight hundred forty".