72541070401000 has 64 divisors (see below), whose sum is σ = 169780836186000. Its totient is φ = 29010491161600.

The previous prime is 72541070400991. The next prime is 72541070401013. The reversal of 72541070401000 is 10407014527.

It can be written as a sum of positive squares in 8 ways, for example, as 10059688804 + 72531010712196 = 100298^2 + 8516514^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2529805 + ... + 12307804.

Almost surely, 2^{72541070401000} is an apocalyptic number.

It is an amenable number.

72541070401000 is an abundant number, since it is smaller than the sum of its proper divisors (97239765785000).

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

72541070401000 is a wasteful number, since it uses less digits than its factorization.

72541070401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14842519 (or 14842505 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 31.

Adding to 72541070401000 its reverse (10407014527), we get a palindrome (72551477415527).

The spelling of 72541070401000 in words is "seventy-two trillion, five hundred forty-one billion, seventy million, four hundred one thousand".