72727476 has 48 divisors (see below), whose sum is σ = 177340800. Its totient is φ = 23167872.

The previous prime is 72727469. The next prime is 72727477. The reversal of 72727476 is 67472727.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72727477) 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, 34830 + ... + 36858.

It is an arithmetic number, because the mean of its divisors is an integer number (3694600).

Almost surely, 2^72727476 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 72727476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88670400).

72727476 is an abundant number, since it is smaller than the sum of its proper divisors (104613324).

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

72727476 is a wasteful number, since it uses less digits than its factorization.

72727476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2168 (or 2166 counting only the distinct ones).

The product of its digits is 230496, while the sum is 42.

The square root of 72727476 is about 8528.0405721361. The cubic root of 72727476 is about 417.4131933739.

It can be divided in two parts, 727 and 27476, that added together give a triangular number (28203 = T₂₃₇).

The spelling of 72727476 in words is "seventy-two million, seven hundred twenty-seven thousand, four hundred seventy-six".