72987456 has 56 divisors (see below), whose sum is σ = 195153280. Its totient is φ = 24072192.

The previous prime is 72987449. The next prime is 72987463. The reversal of 72987456 is 65478927.

It is an interprime number because it is at equal distance from previous prime (72987449) and next prime (72987463).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16665 + ... + 20583.

It is an arithmetic number, because the mean of its divisors is an integer number (3484880).

Almost surely, 2^72987456 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 72987456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97576640).

72987456 is an abundant number, since it is smaller than the sum of its proper divisors (122165824).

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

72987456 is a wasteful number, since it uses less digits than its factorization.

72987456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031 (or 4021 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 72987456 is about 8543.2696317042. The cubic root of 72987456 is about 417.9099796226.

The spelling of 72987456 in words is "seventy-two million, nine hundred eighty-seven thousand, four hundred fifty-six".