72354296 has 64 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 29900160.

The previous prime is 72354281. The next prime is 72354311. The reversal of 72354296 is 69245327.

It is an interprime number because it is at equal distance from previous prime (72354281) and next prime (72354311).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 201365 + ... + 201723.

It is an arithmetic number, because the mean of its divisors is an integer number (2511000).

Almost surely, 2^72354296 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 72354296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

72354296 is an abundant number, since it is smaller than the sum of its proper divisors (88349704).

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

72354296 is a wasteful number, since it uses less digits than its factorization.

72354296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 488 counting only the distinct ones).

The product of its digits is 90720, while the sum is 38.

The square root of 72354296 is about 8506.1328463644. The cubic root of 72354296 is about 416.6980237379.

The spelling of 72354296 in words is "seventy-two million, three hundred fifty-four thousand, two hundred ninety-six".