72203040 has 576 divisors, whose sum is σ = 330220800. Its totient is φ = 13934592.

The previous prime is 72203039. The next prime is 72203071. The reversal of 72203040 is 4030227.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2489746 + ... + 2489774.

It is an arithmetic number, because the mean of its divisors is an integer number (573300).

Almost surely, 2^72203040 is an apocalyptic number.

72203040 is a gapful number since it is divisible by the number (70) 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 72203040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

72203040 is an abundant number, since it is smaller than the sum of its proper divisors (258017760).

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

72203040 is a wasteful number, since it uses less digits than its factorization.

72203040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 72203040 is about 8497.2371980544. The cubic root of 72203040 is about 416.4074533515.

Adding to 72203040 its reverse (4030227), we get a palindrome (76233267).

The spelling of 72203040 in words is "seventy-two million, two hundred three thousand, forty".