72772784640 has 960 divisors, whose sum is σ = 283121879040. Its totient is φ = 17856184320.

The previous prime is 72772784627. The next prime is 72772784641. The reversal of 72772784640 is 4648727727.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (72772784641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555517375 + ... + 555517505.

It is an arithmetic number, because the mean of its divisors is an integer number (294918624).

Almost surely, 2^72772784640 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 72772784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141560939520).

72772784640 is an abundant number, since it is smaller than the sum of its proper divisors (210349094400).

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

72772784640 is a wasteful number, since it uses less digits than its factorization.

72772784640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7375872, while the sum is 54.

The spelling of 72772784640 in words is "seventy-two billion, seven hundred seventy-two million, seven hundred eighty-four thousand, six hundred forty".