72777355840 has 448 divisors, whose sum is σ = 212199321600. Its totient is φ = 23735255040.

The previous prime is 72777355829. The next prime is 72777355841. The reversal of 72777355840 is 4855377727.

It is a tau number, because it is divible by the number of its divisors (448).

It is not an unprimeable number, because it can be changed into a prime (72777355841) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 248386734 + ... + 248387026.

It is an arithmetic number, because the mean of its divisors is an integer number (473659200).

Almost surely, 2^72777355840 is an apocalyptic number.

72777355840 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 72777355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106099660800).

72777355840 is an abundant number, since it is smaller than the sum of its proper divisors (139421965760).

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

72777355840 is a wasteful number, since it uses less digits than its factorization.

72777355840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 11524800, while the sum is 55.

The spelling of 72777355840 in words is "seventy-two billion, seven hundred seventy-seven million, three hundred fifty-five thousand, eight hundred forty".