72635733 has 6 divisors (see below), whose sum is σ = 104918294. Its totient is φ = 48423816.

The previous prime is 72635683. The next prime is 72635777. The reversal of 72635733 is 33753627.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67519089 + 5116644 = 8217^2 + 2262^2 .

It is not a de Polignac number, because 72635733 - 2⁹ = 72635221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72635333) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4035310 + ... + 4035327.

Almost surely, 2^72635733 is an apocalyptic number.

It is an amenable number.

72635733 is a deficient number, since it is larger than the sum of its proper divisors (32282561).

72635733 is a wasteful number, since it uses less digits than its factorization.

72635733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070643 (or 8070640 counting only the distinct ones).

The product of its digits is 79380, while the sum is 36.

The square root of 72635733 is about 8522.6599720979. The cubic root of 72635733 is about 417.2376024580.

It can be divided in two parts, 7263 and 5733, that added together give a square (12996 = 114²).

The spelling of 72635733 in words is "seventy-two million, six hundred thirty-five thousand, seven hundred thirty-three".