142200672 has 24 divisors (see below), whose sum is σ = 373277016. Its totient is φ = 47400192.

The previous prime is 142200671. The next prime is 142200673. The reversal of 142200672 is 276002241.

142200672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (142200671) and next prime (142200673).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×142200672² = 40442062234503168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142200671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 740533 + ... + 740724.

It is an arithmetic number, because the mean of its divisors is an integer number (15553209).

Almost surely, 2^142200672 is an apocalyptic number.

142200672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142200672 is an abundant number, since it is smaller than the sum of its proper divisors (231076344).

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

142200672 is a wasteful number, since it uses less digits than its factorization.

142200672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1481270 (or 1481262 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 142200672 is about 11924.7923252357. The cubic root of 142200672 is about 521.9559863655.

It can be divided in two parts, 142200 and 672, that multiplied together give a triangular number (95558400 = T₁₃₈₂₄).

The spelling of 142200672 in words is "one hundred forty-two million, two hundred thousand, six hundred seventy-two".