72526440305376 has 576 divisors, whose sum is σ = 226733299752960. Its totient is φ = 21905769600000.

The previous prime is 72526440305323. The next prime is 72526440305383. The reversal of 72526440305376 is 67350304462527.

72526440305376 is a `hidden beast` number, since 7 + 2 + 5 + 2 + 64 + 40 + 3 + 0 + 537 + 6 = 666.

It is a super-2 number, since 2×72526440305376² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5577663291 + ... + 5577676293.

It is an arithmetic number, because the mean of its divisors is an integer number (393634200960).

Almost surely, 2^{72526440305376} is an apocalyptic number.

72526440305376 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 72526440305376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113366649876480).

72526440305376 is an abundant number, since it is smaller than the sum of its proper divisors (154206859447584).

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

72526440305376 is a wasteful number, since it uses less digits than its factorization.

72526440305376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13451 (or 13440 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 72526440305376 in words is "seventy-two trillion, five hundred twenty-six billion, four hundred forty million, three hundred five thousand, three hundred seventy-six".