72543520 has 144 divisors (see below), whose sum is σ = 210288960. Its totient is φ = 23514624.

The previous prime is 72543511. The next prime is 72543563. The reversal of 72543520 is 2534527.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148717 + ... + 149203.

It is an arithmetic number, because the mean of its divisors is an integer number (1460340).

Almost surely, 2^72543520 is an apocalyptic number.

72543520 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 72543520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105144480).

72543520 is an abundant number, since it is smaller than the sum of its proper divisors (137745440).

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

72543520 is a wasteful number, since it uses less digits than its factorization.

72543520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 72543520 is about 8517.2483819600. The cubic root of 72543520 is about 417.0609629332.

The spelling of 72543520 in words is "seventy-two million, five hundred forty-three thousand, five hundred twenty".