72437520 has 80 divisors (see below), whose sum is σ = 226628352. Its totient is φ = 19138560.

The previous prime is 72437513. The next prime is 72437543. The reversal of 72437520 is 2573427.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25785 + ... + 28455.

Almost surely, 2^72437520 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 72437520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113314176).

72437520 is an abundant number, since it is smaller than the sum of its proper divisors (154190832).

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

72437520 is a wasteful number, since it uses less digits than its factorization.

72437520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 72437520 is about 8511.0234402215. The cubic root of 72437520 is about 416.8577285532.

The spelling of 72437520 in words is "seventy-two million, four hundred thirty-seven thousand, five hundred twenty".