13772130372 has 288 divisors, whose sum is σ = 49493493504. Its totient is φ = 3107635200.

The previous prime is 13772130367. The next prime is 13772130377. The reversal of 13772130372 is 27303127731.

13772130372 is a `hidden beast` number, since 1 + 3 + 77 + 213 + 0 + 372 = 666.

It is an interprime number because it is at equal distance from previous prime (13772130367) and next prime (13772130377).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13772130377) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 601372 + ... + 623852.

It is an arithmetic number, because the mean of its divisors is an integer number (171852408).

Almost surely, 2^13772130372 is an apocalyptic number.

13772130372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13772130372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24746746752).

13772130372 is an abundant number, since it is smaller than the sum of its proper divisors (35721363132).

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

13772130372 is a wasteful number, since it uses less digits than its factorization.

13772130372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22539 (or 22534 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 36.

It can be divided in two parts, 1377 and 2130372, that multiplied together give a square (2933522244 = 54162²).

The spelling of 13772130372 in words is "thirteen billion, seven hundred seventy-two million, one hundred thirty thousand, three hundred seventy-two".