72754560 has 192 divisors, whose sum is σ = 266366880. Its totient is φ = 18235392.

The previous prime is 72754523. The next prime is 72754567. The reversal of 72754560 is 6545727.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72754567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97549 + ... + 98291.

Almost surely, 2^72754560 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 72754560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

72754560 is an abundant number, since it is smaller than the sum of its proper divisors (193612320).

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

72754560 is a wasteful number, since it uses less digits than its factorization.

72754560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 72754560 is about 8529.6283623614. The cubic root of 72754560 is about 417.4650023851.

The spelling of 72754560 in words is "seventy-two million, seven hundred fifty-four thousand, five hundred sixty".