72461664 has 144 divisors (see below), whose sum is σ = 228206160. Its totient is φ = 21626880.

The previous prime is 72461647. The next prime is 72461681. The reversal of 72461664 is 46616427.

It is an interprime number because it is at equal distance from previous prime (72461647) and next prime (72461681).

It is a tau number, because it is divible by the number of its divisors (144).

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 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, 281824 + ... + 282080.

It is an arithmetic number, because the mean of its divisors is an integer number (1584765).

Almost surely, 2^72461664 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 72461664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114103080).

72461664 is an abundant number, since it is smaller than the sum of its proper divisors (155744496).

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

72461664 is a wasteful number, since it uses less digits than its factorization.

72461664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 362 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 72461664 is about 8512.4417178622. The cubic root of 72461664 is about 416.9040374044.

The spelling of 72461664 in words is "seventy-two million, four hundred sixty-one thousand, six hundred sixty-four".