72341403890625 has 189 divisors, whose sum is σ = 134459635398543. Its totient is φ = 37478084400000.

The previous prime is 72341403890521. The next prime is 72341403890653. The reversal of 72341403890625 is 52609830414327.

The square root of 72341403890625 is 8505375.

It is a perfect power (a square), and thus also a powerful number.

72341403890625 is a `hidden beast` number, since 7 + 2 + 3 + 4 + 1 + 4 + 0 + 3 + 8 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 31 ways, for example, as 540388182321 + 71801015708304 = 735111^2 + 8473548^2 .

It is a de Polignac number, because none of the positive numbers 2^k-72341403890625 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 118012077819 + ... + 118012078431.

It is a 1-persistent number, because it is pandigital, but 2⋅72341403890625 = 144682807781250 is not.

Almost surely, 2^{72341403890625} is an apocalyptic number.

72341403890625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

72341403890625 is the 8505375-th square number.

72341403890625 is the 4252688-th centered octagonal number.

It is an amenable number.

72341403890625 is a deficient number, since it is larger than the sum of its proper divisors (62118231507918).

72341403890625 is an frugal number, since it uses more digits than its factorization.

72341403890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1336 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 72341403890625 in words is "seventy-two trillion, three hundred forty-one billion, four hundred three million, eight hundred ninety thousand, six hundred twenty-five".