72416880 has 120 divisors (see below), whose sum is σ = 253831968. Its totient is φ = 18467328.

The previous prime is 72416873. The next prime is 72416887. The reversal of 72416880 is 8861427.

It is an interprime number because it is at equal distance from previous prime (72416873) and next prime (72416887).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72416887) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14374 + ... + 18746.

Almost surely, 2^72416880 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 72416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126915984).

72416880 is an abundant number, since it is smaller than the sum of its proper divisors (181415088).

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

72416880 is a wasteful number, since it uses less digits than its factorization.

72416880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4415 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 72416880 is about 8509.8108087078. The cubic root of 72416880 is about 416.8181323107.

The spelling of 72416880 in words is "seventy-two million, four hundred sixteen thousand, eight hundred eighty".