72743620 has 24 divisors (see below), whose sum is σ = 153002304. Its totient is φ = 29051616.

The previous prime is 72743611. The next prime is 72743621. The reversal of 72743620 is 2634727.

It is a happy number.

It is a super-3 number, since 3×72743620³ (a number of 25 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (72743621) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12039 + ... + 17041.

It is an arithmetic number, because the mean of its divisors is an integer number (6375096).

Almost surely, 2^72743620 is an apocalyptic number.

It is an amenable number.

72743620 is an abundant number, since it is smaller than the sum of its proper divisors (80258684).

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

72743620 is a wasteful number, since it uses less digits than its factorization.

72743620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5739 (or 5737 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 31.

The square root of 72743620 is about 8528.9870441923. The cubic root of 72743620 is about 417.4440767961. Note that the first 3 decimals are identical.

The spelling of 72743620 in words is "seventy-two million, seven hundred forty-three thousand, six hundred twenty".