1362772224 has 216 divisors, whose sum is σ = 4539985632. Its totient is φ = 388546560.

The previous prime is 1362772217. The next prime is 1362772231. The reversal of 1362772224 is 4222772631.

It is a happy number.

1362772224 is a `hidden beast` number, since 1 + 3 + 627 + 7 + 2 + 2 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1362772217) and next prime (1362772231).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429267 + ... + 432429.

It is an arithmetic number, because the mean of its divisors is an integer number (21018452).

Almost surely, 2^1362772224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1362772224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269992816).

1362772224 is an abundant number, since it is smaller than the sum of its proper divisors (3177213408).

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

1362772224 is a wasteful number, since it uses less digits than its factorization.

1362772224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3213 (or 3196 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 1362772224 is about 36915.7449335646. The cubic root of 1362772224 is about 1108.6839430511.

The spelling of 1362772224 in words is "one billion, three hundred sixty-two million, seven hundred seventy-two thousand, two hundred twenty-four".