72027541555200 has 864 divisors, whose sum is σ = 321607223945280. Its totient is φ = 14966754508800.

The previous prime is 72027541555133. The next prime is 72027541555217. The reversal of 72027541555200 is 255514572027.

72027541555200 is a `hidden beast` number, since 7 + 2 + 0 + 2 + 7 + 541 + 55 + 52 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34466602 + ... + 36496598.

It is an arithmetic number, because the mean of its divisors is an integer number (372230583270).

Almost surely, 2^{72027541555200} is an apocalyptic number.

72027541555200 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 72027541555200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160803611972640).

72027541555200 is an abundant number, since it is smaller than the sum of its proper divisors (249579682390080).

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

72027541555200 is a wasteful number, since it uses less digits than its factorization.

72027541555200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030053 (or 2030025 counting only the distinct ones).

The product of its (nonzero) digits is 980000, while the sum is 45.

The spelling of 72027541555200 in words is "seventy-two trillion, twenty-seven billion, five hundred forty-one million, five hundred fifty-five thousand, two hundred".