72475392 has 144 divisors (see below), whose sum is σ = 220163328. Its totient is φ = 20951040.

The previous prime is 72475343. The next prime is 72475397. The reversal of 72475392 is 29357427.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 72475392.

It is not an unprimeable number, because it can be changed into a prime (72475397) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194118 + ... + 194490.

It is an arithmetic number, because the mean of its divisors is an integer number (1528912).

Almost surely, 2^72475392 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 72475392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110081664).

72475392 is an abundant number, since it is smaller than the sum of its proper divisors (147687936).

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

72475392 is a wasteful number, since it uses less digits than its factorization.

72475392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426 (or 412 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 72475392 is about 8513.2480288078. The cubic root of 72475392 is about 416.9303634961.

The spelling of 72475392 in words is "seventy-two million, four hundred seventy-five thousand, three hundred ninety-two".