72609504 has 96 divisors (see below), whose sum is σ = 215187840. Its totient is φ = 21235200.

The previous prime is 72609487. The next prime is 72609529. The reversal of 72609504 is 40590627.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×72609504² = 10544280142252032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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, 29439 + ... + 31809.

It is an arithmetic number, because the mean of its divisors is an integer number (2241540).

Almost surely, 2^72609504 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 72609504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107593920).

72609504 is an abundant number, since it is smaller than the sum of its proper divisors (142578336).

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

72609504 is a wasteful number, since it uses less digits than its factorization.

72609504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 72609504 is about 8521.1210530071. The cubic root of 72609504 is about 417.1873744589.

The spelling of 72609504 in words is "seventy-two million, six hundred nine thousand, five hundred four".