72396101529 has 12 divisors (see below), whose sum is σ = 104772867732. Its totient is φ = 48171427200.

The previous prime is 72396101513. The next prime is 72396101539. The reversal of 72396101529 is 92510169327.

It is a happy number.

72396101529 is a `hidden beast` number, since 7 + 2 + 3 + 9 + 610 + 1 + 5 + 29 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15863906304 + 56532195225 = 125952^2 + 237765^2 .

It is not a de Polignac number, because 72396101529 - 2⁴ = 72396101513 is a prime.

It is a super-2 number, since 2×72396101529² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72396101539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7715092 + ... + 7724469.

It is an arithmetic number, because the mean of its divisors is an integer number (8731072311).

Almost surely, 2^72396101529 is an apocalyptic number.

It is an amenable number.

72396101529 is a deficient number, since it is larger than the sum of its proper divisors (32376766203).

72396101529 is a wasteful number, since it uses less digits than its factorization.

72396101529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15440088 (or 15440085 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 72396101529 in words is "seventy-two billion, three hundred ninety-six million, one hundred one thousand, five hundred twenty-nine".