72346560 has 448 divisors, whose sum is σ = 294948864. Its totient is φ = 14745600.

The previous prime is 72346559. The next prime is 72346579. The reversal of 72346560 is 6564327.

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 63 ways as a sum of consecutive naturals, for example, 2333745 + ... + 2333775.

It is an arithmetic number, because the mean of its divisors is an integer number (658368).

Almost surely, 2^72346560 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 72346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147474432).

72346560 is an abundant number, since it is smaller than the sum of its proper divisors (222602304).

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

72346560 is a wasteful number, since it uses less digits than its factorization.

72346560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 72346560 is about 8505.6781034789. The cubic root of 72346560 is about 416.6831723239.

The spelling of 72346560 in words is "seventy-two million, three hundred forty-six thousand, five hundred sixty".