72581760 has 96 divisors (see below), whose sum is σ = 250653780. Its totient is φ = 19353600.

The previous prime is 72581759. The next prime is 72581777. The reversal of 72581760 is 6718527.

72581760 is a `hidden beast` number, since 7 + 2 + 581 + 76 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70963776 + 1617984 = 8424^2 + 1272^2 .

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

It is a super-2 number, since 2×72581760² = 10536223769395200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541 + ... + 12060.

Almost surely, 2^72581760 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 72581760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125326890).

72581760 is an abundant number, since it is smaller than the sum of its proper divisors (178072020).

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

72581760 is a wasteful number, since it uses less digits than its factorization.

72581760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12626 (or 12611 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 72581760 is about 8519.4929426580. The cubic root of 72581760 is about 417.1342320997.

The spelling of 72581760 in words is "seventy-two million, five hundred eighty-one thousand, seven hundred sixty".