72277698528 has 216 divisors, whose sum is σ = 247343339880. Its totient is φ = 19938562560.

The previous prime is 72277698527. The next prime is 72277698541. The reversal of 72277698528 is 82589677227.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72277698523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 320943 + ... + 497553.

It is an arithmetic number, because the mean of its divisors is an integer number (1145108055).

Almost surely, 2^72277698528 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 72277698528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123671669940).

72277698528 is an abundant number, since it is smaller than the sum of its proper divisors (175065641352).

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

72277698528 is a wasteful number, since it uses less digits than its factorization.

72277698528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176670 (or 176652 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The spelling of 72277698528 in words is "seventy-two billion, two hundred seventy-seven million, six hundred ninety-eight thousand, five hundred twenty-eight".