72987120 has 240 divisors, whose sum is σ = 266366880. Its totient is φ = 17842176.

The previous prime is 72987107. The next prime is 72987133. The reversal of 72987120 is 2178927.

It is an interprime number because it is at equal distance from previous prime (72987107) and next prime (72987133).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-3 number, since 3×72987120³ (a number of 25 digits) contains 333 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 820036 + ... + 820124.

It is an arithmetic number, because the mean of its divisors is an integer number (1109862).

Almost surely, 2^72987120 is an apocalyptic number.

72987120 is the 4272-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72987120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133183440).

72987120 is an abundant number, since it is smaller than the sum of its proper divisors (193379760).

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

72987120 is a wasteful number, since it uses less digits than its factorization.

72987120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 72987120 is about 8543.2499670793. The cubic root of 72987120 is about 417.9093383344.

The spelling of 72987120 in words is "seventy-two million, nine hundred eighty-seven thousand, one hundred twenty".