72091300 has 18 divisors (see below), whose sum is σ = 156438338. Its totient is φ = 28836480.

The previous prime is 72091297. The next prime is 72091307. The reversal of 72091300 is 319027.

It can be written as a sum of positive squares in 3 ways, for example, as 553536 + 71537764 = 744^2 + 8458^2 .

It is not an unprimeable number, because it can be changed into a prime (72091307) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 360357 + ... + 360556.

Almost surely, 2^72091300 is an apocalyptic number.

It is an amenable number.

72091300 is an abundant number, since it is smaller than the sum of its proper divisors (84347038).

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

72091300 is a wasteful number, since it uses less digits than its factorization.

72091300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720927 (or 720920 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 22.

The square root of 72091300 is about 8490.6595739083. The cubic root of 72091300 is about 416.1925344592.

The spelling of 72091300 in words is "seventy-two million, ninety-one thousand, three hundred".