72027252369 has 24 divisors (see below), whose sum is σ = 106680815592. Its totient is φ = 46812971520.

The previous prime is 72027252293. The next prime is 72027252371. The reversal of 72027252369 is 96325272027.

It can be written as a sum of positive squares in 4 ways, for example, as 12334989969 + 59692262400 = 111063^2 + 244320^2 .

It is not a de Polignac number, because 72027252369 - 2¹⁵ = 72027219601 is a prime.

It is a super-2 number, since 2×72027252369² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (72027252379) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518482 + ... + 642555.

It is an arithmetic number, because the mean of its divisors is an integer number (4445033983).

Almost surely, 2^72027252369 is an apocalyptic number.

It is an amenable number.

72027252369 is a deficient number, since it is larger than the sum of its proper divisors (34653563223).

72027252369 is a wasteful number, since it uses less digits than its factorization.

72027252369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161217 (or 1161214 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

It can be divided in two parts, 720272 and 52369, that added together give a square (772641 = 879²).

The spelling of 72027252369 in words is "seventy-two billion, twenty-seven million, two hundred fifty-two thousand, three hundred sixty-nine".