72593463096 has 1152 divisors, whose sum is σ = 280446566400. Its totient is φ = 16525555200.

The previous prime is 72593463091. The next prime is 72593463101. The reversal of 72593463096 is 69036439527.

72593463096 is a `hidden beast` number, since 7 + 2 + 5 + 93 + 463 + 0 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (72593463091) and next prime (72593463101).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72593463091) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1544541745 + ... + 1544541791.

It is an arithmetic number, because the mean of its divisors is an integer number (243443200).

Almost surely, 2^72593463096 is an apocalyptic number.

72593463096 is a gapful number since it is divisible by the number (76) 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 72593463096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140223283200).

72593463096 is an abundant number, since it is smaller than the sum of its proper divisors (207853103304).

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

72593463096 is a wasteful number, since it uses less digits than its factorization.

72593463096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 72593463096 in words is "seventy-two billion, five hundred ninety-three million, four hundred sixty-three thousand, ninety-six".