72729468 has 96 divisors (see below), whose sum is σ = 228211200. Its totient is φ = 19554048.

The previous prime is 72729467. The next prime is 72729479. The reversal of 72729468 is 86492727.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72729463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10023 + ... + 15681.

It is an arithmetic number, because the mean of its divisors is an integer number (2377200).

Almost surely, 2^72729468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72729468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114105600).

72729468 is an abundant number, since it is smaller than the sum of its proper divisors (155481732).

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

72729468 is a wasteful number, since it uses less digits than its factorization.

72729468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5696 (or 5688 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 72729468 is about 8528.1573625256. The cubic root of 72729468 is about 417.4170043109.

The spelling of 72729468 in words is "seventy-two million, seven hundred twenty-nine thousand, four hundred sixty-eight".