72101772 has 48 divisors (see below), whose sum is σ = 193384800. Its totient is φ = 23204160.

The previous prime is 72101761. The next prime is 72101773. The reversal of 72101772 is 27710127.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (72101773) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8379 + ... + 14642.

It is an arithmetic number, because the mean of its divisors is an integer number (4028850).

Almost surely, 2^72101772 is an apocalyptic number.

It is an amenable number.

72101772 is an abundant number, since it is smaller than the sum of its proper divisors (121283028).

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

72101772 is a wasteful number, since it uses less digits than its factorization.

72101772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23063 (or 23055 counting only the distinct ones).

The product of its (nonzero) digits is 1372, while the sum is 27.

The square root of 72101772 is about 8491.2762291660. The cubic root of 72101772 is about 416.2126855602.

Adding to 72101772 its reverse (27710127), we get a palindrome (99811899).

The spelling of 72101772 in words is "seventy-two million, one hundred one thousand, seven hundred seventy-two".