72419760 has 120 divisors (see below), whose sum is σ = 277973280. Its totient is φ = 16551936.

The previous prime is 72419747. The next prime is 72419791. The reversal of 72419760 is 6791427.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2145 + ... + 12224.

It is an arithmetic number, because the mean of its divisors is an integer number (2316444).

Almost surely, 2^72419760 is an apocalyptic number.

72419760 is a gapful number since it is divisible by the number (70) 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 72419760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138986640).

72419760 is an abundant number, since it is smaller than the sum of its proper divisors (205553520).

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

72419760 is a wasteful number, since it uses less digits than its factorization.

72419760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14395 (or 14386 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 72419760 is about 8509.9800234783. The cubic root of 72419760 is about 416.8236578194.

The spelling of 72419760 in words is "seventy-two million, four hundred nineteen thousand, seven hundred sixty".