72905054826240 has 1944 divisors, whose sum is σ = 323144368157520. Its totient is φ = 15120283336704.

The previous prime is 72905054826221. The next prime is 72905054826259. The reversal of 72905054826240 is 4262845050927.

72905054826240 is a `hidden beast` number, since 7 + 2 + 9 + 0 + 5 + 0 + 5 + 4 + 8 + 2 + 624 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (72905054826221) and next prime (72905054826259).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5628423604 + ... + 5628436556.

It is an arithmetic number, because the mean of its divisors is an integer number (166226526830).

Almost surely, 2^{72905054826240} is an apocalyptic number.

72905054826240 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 72905054826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161572184078760).

72905054826240 is an abundant number, since it is smaller than the sum of its proper divisors (250239313331280).

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

72905054826240 is a wasteful number, since it uses less digits than its factorization.

72905054826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13079 (or 13042 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 72905054826240 in words is "seventy-two trillion, nine hundred five billion, fifty-four million, eight hundred twenty-six thousand, two hundred forty".