72029504 has 42 divisors (see below), whose sum is σ = 148616670. Its totient is φ = 34596352.

The previous prime is 72029473. The next prime is 72029509. The reversal of 72029504 is 40592027.

It can be written as a sum of positive squares in 3 ways, for example, as 54051904 + 17977600 = 7352^2 + 4240^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72029509) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 365534 + ... + 365730.

Almost surely, 2^72029504 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 72029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74308335).

72029504 is an abundant number, since it is smaller than the sum of its proper divisors (76587166).

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

72029504 is an equidigital number, since it uses as much as digits as its factorization.

72029504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 72029504 is about 8487.0197360440. The cubic root of 72029504 is about 416.0735816587.

Multiplying 72029504 by its sum of digits (29), we get a square (2088855616 = 45704²).

72029504 divided by its sum of digits (29) gives a square (2483776 = 1576²).

The spelling of 72029504 in words is "seventy-two million, twenty-nine thousand, five hundred four".