72039528 has 72 divisors (see below), whose sum is σ = 214482450. Its totient is φ = 21827520.

The previous prime is 72039503. The next prime is 72039529. The reversal of 72039528 is 82593027.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 46212804 + 25826724 = 6798^2 + 5082^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 72039492 and 72039501.

It is not an unprimeable number, because it can be changed into a prime (72039529) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4578 + ... + 12846.

Almost surely, 2^72039528 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 72039528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107241225).

72039528 is an abundant number, since it is smaller than the sum of its proper divisors (142442922).

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

72039528 is a wasteful number, since it uses less digits than its factorization.

72039528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8303 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 72039528 is about 8487.6102643795. The cubic root of 72039528 is about 416.0928817506.

The spelling of 72039528 in words is "seventy-two million, thirty-nine thousand, five hundred twenty-eight".