72000576 has 280 divisors, whose sum is σ = 243413280. Its totient is φ = 20901888.

The previous prime is 72000571. The next prime is 72000581. The reversal of 72000576 is 67500027.

It is an interprime number because it is at equal distance from previous prime (72000571) and next prime (72000581).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72000571) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1674411 + ... + 1674453.

Almost surely, 2^72000576 is an apocalyptic number.

72000576 is a gapful number since it is divisible by the number (76) 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 72000576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121706640).

72000576 is an abundant number, since it is smaller than the sum of its proper divisors (171412704).

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

72000576 is a wasteful number, since it uses less digits than its factorization.

72000576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 72000576 is about 8485.3153152962. The cubic root of 72000576 is about 416.0178739855.

The spelling of 72000576 in words is "seventy-two million, five hundred seventy-six", and thus it is an aban number.