72641030400 has 243 divisors, whose sum is σ = 259939547049. Its totient is φ = 19353692160.

The previous prime is 72641030389. The next prime is 72641030411. The reversal of 72641030400 is 403014627.

The square root of 72641030400 is 269520.

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

It is an interprime number because it is at equal distance from previous prime (72641030389) and next prime (72641030411).

It can be written as a sum of positive squares in only one way, i.e., 26150770944 + 46490259456 = 161712^2 + 215616^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64684239 + ... + 64685361.

Almost surely, 2^72641030400 is an apocalyptic number.

72641030400 is the 269520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72641030400

72641030400 is an abundant number, since it is smaller than the sum of its proper divisors (187298516649).

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

72641030400 is an equidigital number, since it uses as much as digits as its factorization.

72641030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 72641030400 in words is "seventy-two billion, six hundred forty-one million, thirty thousand, four hundred".