72129752 has 16 divisors (see below), whose sum is σ = 137149200. Its totient is φ = 35556640.

The previous prime is 72129751. The next prime is 72129763. The reversal of 72129752 is 25792127.

It is a super-2 number, since 2×72129752² = 10405402247163008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72129751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 62927 + ... + 64062.

It is an arithmetic number, because the mean of its divisors is an integer number (8571825).

Almost surely, 2^72129752 is an apocalyptic number.

It is an amenable number.

72129752 is a deficient number, since it is larger than the sum of its proper divisors (65019448).

72129752 is a wasteful number, since it uses less digits than its factorization.

72129752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127066 (or 127062 counting only the distinct ones).

The product of its digits is 17640, while the sum is 35.

The square root of 72129752 is about 8492.9236426569. The cubic root of 72129752 is about 416.2665174543.

The spelling of 72129752 in words is "seventy-two million, one hundred twenty-nine thousand, seven hundred fifty-two".