72389520 has 240 divisors, whose sum is σ = 284124672. Its totient is φ = 16174080.

The previous prime is 72389503. The next prime is 72389531. The reversal of 72389520 is 2598327.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266985 + ... + 267255.

Almost surely, 2^72389520 is an apocalyptic number.

72389520 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72389520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142062336).

72389520 is an abundant number, since it is smaller than the sum of its proper divisors (211735152).

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

72389520 is a wasteful number, since it uses less digits than its factorization.

72389520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

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

The square root of 72389520 is about 8508.2031005377. The cubic root of 72389520 is about 416.7656326697.

The spelling of 72389520 in words is "seventy-two million, three hundred eighty-nine thousand, five hundred twenty".