72876960 has 288 divisors, whose sum is σ = 284815440. Its totient is φ = 16809984.

The previous prime is 72876911. The next prime is 72876983. The reversal of 72876960 is 6967827.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 46621584 + 26255376 = 6828^2 + 5124^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×72876960² = 10622102597683200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 318126 + ... + 318354.

Almost surely, 2^72876960 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 72876960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142407720).

72876960 is an abundant number, since it is smaller than the sum of its proper divisors (211938480).

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

72876960 is a wasteful number, since it uses less digits than its factorization.

72876960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 72876960 is about 8536.8003373629. The cubic root of 72876960 is about 417.6989812494.

The spelling of 72876960 in words is "seventy-two million, eight hundred seventy-six thousand, nine hundred sixty".