72153729 has 12 divisors (see below), whose sum is σ = 110352996. Its totient is φ = 45272832.

The previous prime is 72153721. The next prime is 72153733. The reversal of 72153729 is 92735127.

It can be written as a sum of positive squares in 2 ways, for example, as 23503104 + 48650625 = 4848^2 + 6975^2 .

It is not a de Polignac number, because 72153729 - 2³ = 72153721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 72153693 and 72153702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72153721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 235644 + ... + 235949.

It is an arithmetic number, because the mean of its divisors is an integer number (9196083).

Almost surely, 2^72153729 is an apocalyptic number.

It is an amenable number.

72153729 is a deficient number, since it is larger than the sum of its proper divisors (38199267).

72153729 is a wasteful number, since it uses less digits than its factorization.

72153729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471616 (or 471613 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 72153729 is about 8494.3351122969. The cubic root of 72153729 is about 416.3126367337.

The spelling of 72153729 in words is "seventy-two million, one hundred fifty-three thousand, seven hundred twenty-nine".