72951424 has 64 divisors (see below), whose sum is σ = 178899840. Its totient is φ = 28855296.

The previous prime is 72951421. The next prime is 72951449. The reversal of 72951424 is 42415927.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 72951424.

It is not an unprimeable number, because it can be changed into a prime (72951421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8517 + ... + 14779.

It is an arithmetic number, because the mean of its divisors is an integer number (2795310).

Almost surely, 2^72951424 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 72951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89449920).

72951424 is an abundant number, since it is smaller than the sum of its proper divisors (105948416).

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

72951424 is a wasteful number, since it uses less digits than its factorization.

72951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6297 (or 6285 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 72951424 is about 8541.1605768771. The cubic root of 72951424 is about 417.8411978902.

The spelling of 72951424 in words is "seventy-two million, nine hundred fifty-one thousand, four hundred twenty-four".