72035280 has 60 divisors (see below), whose sum is σ = 241920900. Its totient is φ = 19209216.

The previous prime is 72035279. The next prime is 72035303. The reversal of 72035280 is 8253027.

It can be written as a sum of positive squares in 2 ways, for example, as 8928144 + 63107136 = 2988^2 + 7944^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×72035280³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49305 + ... + 50744.

It is an arithmetic number, because the mean of its divisors is an integer number (4032015).

Almost surely, 2^72035280 is an apocalyptic number.

It is an amenable number.

72035280 is an abundant number, since it is smaller than the sum of its proper divisors (169885620).

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

72035280 is a wasteful number, since it uses less digits than its factorization.

72035280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100068 (or 100059 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 72035280 is about 8487.3600135731. The cubic root of 72035280 is about 416.0847029199.

It can be divided in two parts, 720 and 35280, that multiplied together give a square (25401600 = 5040²).

The spelling of 72035280 in words is "seventy-two million, thirty-five thousand, two hundred eighty".