72503520 has 48 divisors (see below), whose sum is σ = 228387600. Its totient is φ = 19334144.

The previous prime is 72503503. The next prime is 72503531. The reversal of 72503520 is 2530527.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75045 + ... + 76004.

It is an arithmetic number, because the mean of its divisors is an integer number (4758075).

Almost surely, 2^72503520 is an apocalyptic number.

It is an amenable number.

72503520 is an abundant number, since it is smaller than the sum of its proper divisors (155884080).

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

72503520 is a wasteful number, since it uses less digits than its factorization.

72503520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151067 (or 151059 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 72503520 is about 8514.8998819716. The cubic root of 72503520 is about 416.9842939872.

The spelling of 72503520 in words is "seventy-two million, five hundred three thousand, five hundred twenty".