72201965 has 16 divisors (see below), whose sum is σ = 94711680. Its totient is φ = 52403520.

The previous prime is 72201937. The next prime is 72202001. The reversal of 72201965 is 56910227.

It is not a de Polignac number, because 72201965 - 2²² = 68007661 is a prime.

It is a super-3 number, since 3×72201965³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

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, 34571 + ... + 36599.

It is an arithmetic number, because the mean of its divisors is an integer number (5919480).

Almost surely, 2^72201965 is an apocalyptic number.

It is an amenable number.

72201965 is a deficient number, since it is larger than the sum of its proper divisors (22509715).

72201965 is a wasteful number, since it uses less digits than its factorization.

72201965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2692.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 72201965 is about 8497.1739419645. The cubic root of 72201965 is about 416.4053867708.

The spelling of 72201965 in words is "seventy-two million, two hundred one thousand, nine hundred sixty-five".