72525111750 has 448 divisors, whose sum is σ = 250589469312. Its totient is φ = 15298502400.

The previous prime is 72525111719. The next prime is 72525111773. The reversal of 72525111750 is 5711152527.

72525111750 is a `hidden beast` number, since 72 + 5 + 2 + 511 + 1 + 75 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 16582564 + ... + 16586936.

It is an arithmetic number, because the mean of its divisors is an integer number (559351494).

Almost surely, 2^72525111750 is an apocalyptic number.

72525111750 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 72525111750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125294734656).

72525111750 is an abundant number, since it is smaller than the sum of its proper divisors (178064357562).

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

72525111750 is a wasteful number, since it uses less digits than its factorization.

72525111750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4403 counting only the distinct ones).

The product of its (nonzero) digits is 24500, while the sum is 36.

The spelling of 72525111750 in words is "seventy-two billion, five hundred twenty-five million, one hundred eleven thousand, seven hundred fifty".