72791880552 has 288 divisors, whose sum is σ = 220217961600. Its totient is φ = 22483339776.

The previous prime is 72791880529. The next prime is 72791880613. The reversal of 72791880552 is 25508819727.

72791880552 is a `hidden beast` number, since 7 + 2 + 7 + 9 + 1 + 8 + 80 + 552 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46871008 + ... + 46872560.

It is an arithmetic number, because the mean of its divisors is an integer number (764645700).

Almost surely, 2^72791880552 is an apocalyptic number.

72791880552 is a gapful number since it is divisible by the number (72) 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 72791880552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110108980800).

72791880552 is an abundant number, since it is smaller than the sum of its proper divisors (147426081048).

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

72791880552 is a wasteful number, since it uses less digits than its factorization.

72791880552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1649 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 72791880552 in words is "seventy-two billion, seven hundred ninety-one million, eight hundred eighty thousand, five hundred fifty-two".