72325476 has 72 divisors (see below), whose sum is σ = 197215200. Its totient is φ = 22273920.

The previous prime is 72325471. The next prime is 72325483. The reversal of 72325476 is 67452327.

It is a happy number.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 72325476.

It is not an unprimeable number, because it can be changed into a prime (72325471) 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, 26755 + ... + 29333.

It is an arithmetic number, because the mean of its divisors is an integer number (2739100).

Almost surely, 2^72325476 is an apocalyptic number.

72325476 is a gapful number since it is divisible by the number (76) 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 72325476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98607600).

72325476 is an abundant number, since it is smaller than the sum of its proper divisors (124889724).

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

72325476 is a wasteful number, since it uses less digits than its factorization.

72325476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2644 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 72325476 is about 8504.4386058105. The cubic root of 72325476 is about 416.6426903181.

The spelling of 72325476 in words is "seventy-two million, three hundred twenty-five thousand, four hundred seventy-six".