1000072526400 has 588 divisors, whose sum is σ = 3789397602292. Its totient is φ = 259467079680.

The previous prime is 1000072526357. The next prime is 1000072526419. The reversal of 1000072526400 is 46252700001.

1000072526400 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 7 + 252 + 6 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 64085935104 + 935986591296 = 253152^2 + 967464^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 43145214 + ... + 43168386.

Almost surely, 2^{1000072526400} is an apocalyptic number.

1000072526400 is a gapful number since it is divisible by the number (10) 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 1000072526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894698801146).

1000072526400 is an abundant number, since it is smaller than the sum of its proper divisors (2789325075892).

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

1000072526400 is an equidigital number, since it uses as much as digits as its factorization.

1000072526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23250 (or 23220 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 1000072526400 in words is "one trillion, seventy-two million, five hundred twenty-six thousand, four hundred".