72288532 has 24 divisors (see below), whose sum is σ = 131765760. Its totient is φ = 34658400.

The previous prime is 72288509. The next prime is 72288533. The reversal of 72288532 is 23588227.

It is a junction number, because it is equal to n+sod(n) for n = 72288491 and 72288500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72288533) 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, 15453 + ... + 19579.

It is an arithmetic number, because the mean of its divisors is an integer number (5490240).

Almost surely, 2^72288532 is an apocalyptic number.

It is an amenable number.

72288532 is a deficient number, since it is larger than the sum of its proper divisors (59477228).

72288532 is a wasteful number, since it uses less digits than its factorization.

72288532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4311 (or 4309 counting only the distinct ones).

The product of its digits is 53760, while the sum is 37.

The square root of 72288532 is about 8502.2662861145. The cubic root of 72288532 is about 416.5717375918.

The spelling of 72288532 in words is "seventy-two million, two hundred eighty-eight thousand, five hundred thirty-two".