72398640 has 160 divisors (see below), whose sum is σ = 238841856. Its totient is φ = 18109440.

The previous prime is 72398621. The next prime is 72398657. The reversal of 72398640 is 4689327.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275149 + ... + 275411.

Almost surely, 2^72398640 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 72398640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

72398640 is an abundant number, since it is smaller than the sum of its proper divisors (166443216).

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

72398640 is a wasteful number, since it uses less digits than its factorization.

72398640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 72398640 is about 8508.7390370137. The cubic root of 72398640 is about 416.7831340196.

The spelling of 72398640 in words is "seventy-two million, three hundred ninety-eight thousand, six hundred forty".