35072040 has 32 divisors (see below), whose sum is σ = 105216480. Its totient is φ = 9352512.

The previous prime is 35072039. The next prime is 35072053. The reversal of 35072040 is 4027053.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 35071998 and 35072016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146014 + ... + 146253.

It is an arithmetic number, because the mean of its divisors is an integer number (3288015).

Almost surely, 2^35072040 is an apocalyptic number.

35072040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35072040 is an abundant number, since it is smaller than the sum of its proper divisors (70144440).

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

35072040 is a wasteful number, since it uses less digits than its factorization.

35072040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292281 (or 292277 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 35072040 is about 5922.1651446072. The cubic root of 35072040 is about 327.3309035188.

Adding to 35072040 its reverse (4027053), we get a palindrome (39099093).

It can be divided in two parts, 350 and 72040, that added together give a triangular number (72390 = T₃₈₀).

The spelling of 35072040 in words is "thirty-five million, seventy-two thousand, forty".