13772097972 has 72 divisors (see below), whose sum is σ = 35192023776. Its totient is φ = 4540826304.

The previous prime is 13772097971. The next prime is 13772097973. The reversal of 13772097972 is 27979027731.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13772097971) and next prime (13772097973).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13772097971) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2913603 + ... + 2918325.

It is an arithmetic number, because the mean of its divisors is an integer number (488778108).

Almost surely, 2^13772097972 is an apocalyptic number.

13772097972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13772097972 is an abundant number, since it is smaller than the sum of its proper divisors (21419925804).

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

13772097972 is a wasteful number, since it uses less digits than its factorization.

13772097972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597 (or 5592 counting only the distinct ones).

The product of its (nonzero) digits is 2333772, while the sum is 54.

The spelling of 13772097972 in words is "thirteen billion, seven hundred seventy-two million, ninety-seven thousand, nine hundred seventy-two".