96072480 has 288 divisors, whose sum is σ = 389660544. Its totient is φ = 21897216.

The previous prime is 96072479. The next prime is 96072527. The reversal of 96072480 is 8427069.

96072480 is a `hidden beast` number, since 9 + 607 + 2 + 48 + 0 = 666.

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

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

It is a congruent number.

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, 271984 + ... + 272336.

It is an arithmetic number, because the mean of its divisors is an integer number (1352988).

Almost surely, 2^96072480 is an apocalyptic number.

96072480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194830272).

96072480 is an abundant number, since it is smaller than the sum of its proper divisors (293588064).

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

96072480 is a wasteful number, since it uses less digits than its factorization.

96072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 96072480 is about 9801.6570027725. The cubic root of 96072480 is about 458.0009025999. Note that the first 3 decimals are identical.

The spelling of 96072480 in words is "ninety-six million, seventy-two thousand, four hundred eighty".