72641635 has 16 divisors (see below), whose sum is σ = 95632992. Its totient is φ = 52531200.

The previous prime is 72641573. The next prime is 72641669. The reversal of 72641635 is 53614627.

It is a happy number.

It is not a de Polignac number, because 72641635 - 2¹⁷ = 72510563 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 72641635.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6307 + ... + 13603.

It is an arithmetic number, because the mean of its divisors is an integer number (5977062).

Almost surely, 2^72641635 is an apocalyptic number.

72641635 is a deficient number, since it is larger than the sum of its proper divisors (22991357).

72641635 is a wasteful number, since it uses less digits than its factorization.

72641635 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7494.

The product of its digits is 30240, while the sum is 34.

The square root of 72641635 is about 8523.0062184654. The cubic root of 72641635 is about 417.2489030009.

The spelling of 72641635 in words is "seventy-two million, six hundred forty-one thousand, six hundred thirty-five".