72729348 has 48 divisors (see below), whose sum is σ = 176257536. Its totient is φ = 23316480.

The previous prime is 72729343. The next prime is 72729353. The reversal of 72729348 is 84392727.

It is an interprime number because it is at equal distance from previous prime (72729343) and next prime (72729353).

It is not an unprimeable number, because it can be changed into a prime (72729341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71290 + ... + 72302.

It is an arithmetic number, because the mean of its divisors is an integer number (3672032).

Almost surely, 2^72729348 is an apocalyptic number.

It is an amenable number.

72729348 is an abundant number, since it is smaller than the sum of its proper divisors (103528188).

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

72729348 is a wasteful number, since it uses less digits than its factorization.

72729348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1242 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 72729348 is about 8528.1503270053. The cubic root of 72729348 is about 417.4167747383.

The spelling of 72729348 in words is "seventy-two million, seven hundred twenty-nine thousand, three hundred forty-eight".