72627572 has 24 divisors (see below), whose sum is σ = 129202920. Its totient is φ = 35717760.

The previous prime is 72627551. The next prime is 72627589. The reversal of 72627572 is 27572627.

It can be written as a sum of positive squares in 4 ways, for example, as 14776336 + 57851236 = 3844^2 + 7606^2 .

It is a super-3 number, since 3×72627572³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67922 + ... + 68982.

It is an arithmetic number, because the mean of its divisors is an integer number (5383455).

Almost surely, 2^72627572 is an apocalyptic number.

It is an amenable number.

72627572 is a deficient number, since it is larger than the sum of its proper divisors (56575348).

72627572 is a wasteful number, since it uses less digits than its factorization.

72627572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1329 counting only the distinct ones).

The product of its digits is 82320, while the sum is 38.

The square root of 72627572 is about 8522.1811762013. The cubic root of 72627572 is about 417.2219756058.

The spelling of 72627572 in words is "seventy-two million, six hundred twenty-seven thousand, five hundred seventy-two".