72747504 has 80 divisors (see below), whose sum is σ = 219827200. Its totient is φ = 22970304.

The previous prime is 72747503. The next prime is 72747527. The reversal of 72747504 is 40574727.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72747503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3777 + ... + 12639.

It is an arithmetic number, because the mean of its divisors is an integer number (2747840).

Almost surely, 2^72747504 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 72747504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109913600).

72747504 is an abundant number, since it is smaller than the sum of its proper divisors (147079696).

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

72747504 is a wasteful number, since it uses less digits than its factorization.

72747504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8899 (or 8887 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 72747504 is about 8529.2147352497. The cubic root of 72747504 is about 417.4515061942.

The spelling of 72747504 in words is "seventy-two million, seven hundred forty-seven thousand, five hundred four".