72547643520000 has 4400 divisors, whose sum is σ = 315885574509120. Its totient is φ = 16411852800000.

The previous prime is 72547643519999. The next prime is 72547643520007. The reversal of 72547643520000 is 2534674527.

72547643520000 is a `hidden beast` number, since 7 + 2 + 5 + 4 + 7 + 6 + 435 + 200 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4400).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72547643520007) by changing a digit.

It is a polite number, since it can be written in 399 ways as a sum of consecutive naturals, for example, 678015359947 + ... + 678015360053.

Almost surely, 2^{72547643520000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72547643520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157942787254560).

72547643520000 is an abundant number, since it is smaller than the sum of its proper divisors (243337930989120).

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

72547643520000 is a wasteful number, since it uses less digits than its factorization.

72547643520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 45.

The spelling of 72547643520000 in words is "seventy-two trillion, five hundred forty-seven billion, six hundred forty-three million, five hundred twenty thousand".