72729520 has 20 divisors (see below), whose sum is σ = 169096320. Its totient is φ = 29091776.

The previous prime is 72729499. The next prime is 72729521. The reversal of 72729520 is 2592727.

It is a tau number, because it is divible by the number of its divisors (20).

It is not an unprimeable number, because it can be changed into a prime (72729521) 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, 454480 + ... + 454639.

It is an arithmetic number, because the mean of its divisors is an integer number (8454816).

Almost surely, 2^72729520 is an apocalyptic number.

It is an amenable number.

72729520 is an abundant number, since it is smaller than the sum of its proper divisors (96366800).

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

72729520 is a wasteful number, since it uses less digits than its factorization.

72729520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909132 (or 909126 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 34.

The square root of 72729520 is about 8528.1604112493. The cubic root of 72729520 is about 417.4171037922.

The spelling of 72729520 in words is "seventy-two million, seven hundred twenty-nine thousand, five hundred twenty".