72541671325110 has 192 divisors, whose sum is σ = 208123300397376. Its totient is φ = 17416488960000.

The previous prime is 72541671325031. The next prime is 72541671325121. The reversal of 72541671325110 is 1152317614527.

72541671325110 is a `hidden beast` number, since 7 + 2 + 5 + 41 + 67 + 1 + 32 + 511 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191738989 + ... + 192116951.

It is an arithmetic number, because the mean of its divisors is an integer number (1083975522903).

Almost surely, 2^{72541671325110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72541671325110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104061650198688).

72541671325110 is an abundant number, since it is smaller than the sum of its proper divisors (135581629072266).

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

72541671325110 is a wasteful number, since it uses less digits than its factorization.

72541671325110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382031 (or 382028 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

Adding to 72541671325110 its reverse (1152317614527), we get a palindrome (73693988939637).

The spelling of 72541671325110 in words is "seventy-two trillion, five hundred forty-one billion, six hundred seventy-one million, three hundred twenty-five thousand, one hundred ten".