142953672 has 64 divisors (see below), whose sum is σ = 371036160. Its totient is φ = 45864000.

The previous prime is 142953661. The next prime is 142953677. The reversal of 142953672 is 276359241.

It is a self number, because there is not a number n which added to its sum of digits gives 142953672.

It is not an unprimeable number, because it can be changed into a prime (142953677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72297 + ... + 74247.

It is an arithmetic number, because the mean of its divisors is an integer number (5797440).

Almost surely, 2^142953672 is an apocalyptic number.

142953672 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 142953672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185518080).

142953672 is an abundant number, since it is smaller than the sum of its proper divisors (228082488).

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

142953672 is a wasteful number, since it uses less digits than its factorization.

142953672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2070 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 142953672 is about 11956.3235151948. The cubic root of 142953672 is about 522.8756752794.

The spelling of 142953672 in words is "one hundred forty-two million, nine hundred fifty-three thousand, six hundred seventy-two".