72622560 has 96 divisors (see below), whose sum is σ = 240831360. Its totient is φ = 18344448.

The previous prime is 72622559. The next prime is 72622591. The reversal of 72622560 is 6522627.

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

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

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, 5139 + ... + 13101.

It is an arithmetic number, because the mean of its divisors is an integer number (2508660).

Almost surely, 2^72622560 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 72622560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120415680).

72622560 is an abundant number, since it is smaller than the sum of its proper divisors (168208800).

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

72622560 is a wasteful number, since it uses less digits than its factorization.

72622560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8000 (or 7992 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 72622560 is about 8521.8871149529. The cubic root of 72622560 is about 417.2123779438.

The spelling of 72622560 in words is "seventy-two million, six hundred twenty-two thousand, five hundred sixty".