1072052400167 has 8 divisors (see below), whose sum is σ = 1226183700000. Its totient is φ = 918166339584.

The previous prime is 1072052400161. The next prime is 1072052400173. The reversal of 1072052400167 is 7610042502701.

It is an interprime number because it is at equal distance from previous prime (1072052400161) and next prime (1072052400173).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1072052400167 - 2¹⁴ = 1072052383783 is a prime.

It is a super-2 number, since 2×1072052400167² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072052400161) 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, 61300442 + ... + 61317927.

It is an arithmetic number, because the mean of its divisors is an integer number (153272962500).

Almost surely, 2^{1072052400167} is an apocalyptic number.

1072052400167 is a deficient number, since it is larger than the sum of its proper divisors (154131299833).

1072052400167 is a wasteful number, since it uses less digits than its factorization.

1072052400167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122619625.

The product of its (nonzero) digits is 23520, while the sum is 35.

Adding to 1072052400167 its reverse (7610042502701), we get a palindrome (8682094902868).

The spelling of 1072052400167 in words is "one trillion, seventy-two billion, fifty-two million, four hundred thousand, one hundred sixty-seven".