72596291040 has 2304 divisors, whose sum is σ = 352127139840. Its totient is φ = 13795246080.

The previous prime is 72596290997. The next prime is 72596291123. The reversal of 72596291040 is 4019269527.

72596291040 is a `hidden beast` number, since 7 + 2 + 5 + 9 + 629 + 10 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1962061902 + ... + 1962061938.

It is an arithmetic number, because the mean of its divisors is an integer number (152832960).

Almost surely, 2^72596291040 is an apocalyptic number.

72596291040 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 72596291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176063569920).

72596291040 is an abundant number, since it is smaller than the sum of its proper divisors (279530848800).

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

72596291040 is a wasteful number, since it uses less digits than its factorization.

72596291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 72596291040 in words is "seventy-two billion, five hundred ninety-six million, two hundred ninety-one thousand, forty".