72142848 has 156 divisors (see below), whose sum is σ = 221484640. Its totient is φ = 22560768.

The previous prime is 72142813. The next prime is 72142871. The reversal of 72142848 is 84824127.

It is a super-2 number, since 2×72142848² = 10409181035102208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700365 + ... + 700467.

Almost surely, 2^72142848 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 72142848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110742320).

72142848 is an abundant number, since it is smaller than the sum of its proper divisors (149341792).

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

72142848 is a wasteful number, since it uses less digits than its factorization.

72142848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 127 counting only the distinct ones).

The product of its digits is 28672, while the sum is 36.

The square root of 72142848 is about 8493.6946024684. The cubic root of 72142848 is about 416.2917086145.

The spelling of 72142848 in words is "seventy-two million, one hundred forty-two thousand, eight hundred forty-eight".