72525276000 has 144 divisors (see below), whose sum is σ = 257392332288. Its totient is φ = 19340064000.

The previous prime is 72525275993. The next prime is 72525276001. The reversal of 72525276000 is 67252527.

72525276000 is a `hidden beast` number, since 7 + 2 + 5 + 25 + 27 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72525276001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 971296 + ... + 1043295.

It is an arithmetic number, because the mean of its divisors is an integer number (1787446752).

Almost surely, 2^72525276000 is an apocalyptic number.

It is an amenable number.

72525276000 is an abundant number, since it is smaller than the sum of its proper divisors (184867056288).

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

72525276000 is a wasteful number, since it uses less digits than its factorization.

72525276000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2014622 (or 2014601 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

It can be divided in two parts, 7252527 and 6000, that added together give a palindrome (7258527).

The spelling of 72525276000 in words is "seventy-two billion, five hundred twenty-five million, two hundred seventy-six thousand".