72037035 has 96 divisors (see below), whose sum is σ = 152275968. Its totient is φ = 30792960.

The previous prime is 72037013. The next prime is 72037051. The reversal of 72037035 is 53073027.

It is not a de Polignac number, because 72037035 - 2⁶ = 72036971 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 441864 + ... + 442026.

It is an arithmetic number, because the mean of its divisors is an integer number (1586208).

Almost surely, 2^72037035 is an apocalyptic number.

72037035 is an abundant number, since it is smaller than the sum of its proper divisors (80238933).

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

72037035 is a wasteful number, since it uses less digits than its factorization.

72037035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 72037035 is about 8487.4634019830. The cubic root of 72037035 is about 416.0880819249.

The spelling of 72037035 in words is "seventy-two million, thirty-seven thousand, thirty-five".