72035460 has 384 divisors, whose sum is σ = 290304000. Its totient is φ = 14432256.

The previous prime is 72035429. The next prime is 72035489. The reversal of 72035460 is 6453027.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1220911 + ... + 1220969.

It is an arithmetic number, because the mean of its divisors is an integer number (756000).

Almost surely, 2^72035460 is an apocalyptic number.

72035460 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 72035460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145152000).

72035460 is an abundant number, since it is smaller than the sum of its proper divisors (218268540).

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

72035460 is a wasteful number, since it uses less digits than its factorization.

72035460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 72035460 is about 8487.3706175706. The cubic root of 72035460 is about 416.0850494870.

Adding to 72035460 its reverse (6453027), we get a palindrome (78488487).

The spelling of 72035460 in words is "seventy-two million, thirty-five thousand, four hundred sixty".