72775557120 has 896 divisors, whose sum is σ = 288634383360. Its totient is φ = 15288238080.

The previous prime is 72775557119. The next prime is 72775557161. The reversal of 72775557120 is 2175557727.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 72775557120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 996925404 + ... + 996925476.

Almost surely, 2^72775557120 is an apocalyptic number.

72775557120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72775557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144317191680).

72775557120 is an abundant number, since it is smaller than the sum of its proper divisors (215858826240).

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

72775557120 is a wasteful number, since it uses less digits than its factorization.

72775557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1200500, while the sum is 48.

The spelling of 72775557120 in words is "seventy-two billion, seven hundred seventy-five million, five hundred fifty-seven thousand, one hundred twenty".