72403968 has 264 divisors, whose sum is σ = 248292912. Its totient is φ = 18579456.

The previous prime is 72403967. The next prime is 72403973. The reversal of 72403968 is 86930427.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72403963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1956846 + ... + 1956882.

Almost surely, 2^72403968 is an apocalyptic number.

72403968 is a gapful number since it is divisible by the number (78) 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 72403968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124146456).

72403968 is an abundant number, since it is smaller than the sum of its proper divisors (175888944).

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

72403968 is a wasteful number, since it uses less digits than its factorization.

72403968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 62 counting only the distinct ones).

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

The square root of 72403968 is about 8509.0521211237. The cubic root of 72403968 is about 416.7933578123.

The spelling of 72403968 in words is "seventy-two million, four hundred three thousand, nine hundred sixty-eight".