72545427882200 has 192 divisors, whose sum is σ = 207971069832960. Its totient is φ = 22917455608320.

The previous prime is 72545427882197. The next prime is 72545427882217. The reversal of 72545427882200 is 228872454527.

It is a super-2 number, since 2×72545427882200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6311879 + ... + 13598921.

It is an arithmetic number, because the mean of its divisors is an integer number (1083182655380).

Almost surely, 2^{72545427882200} is an apocalyptic number.

72545427882200 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 72545427882200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103985534916480).

72545427882200 is an abundant number, since it is smaller than the sum of its proper divisors (135425641950760).

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

72545427882200 is a wasteful number, since it uses less digits than its factorization.

72545427882200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7287626 (or 7287617 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 56.

The spelling of 72545427882200 in words is "seventy-two trillion, five hundred forty-five billion, four hundred twenty-seven million, eight hundred eighty-two thousand, two hundred".