42719520 has 96 divisors (see below), whose sum is σ = 136866240. Its totient is φ = 11197440.

The previous prime is 42719507. The next prime is 42719549. The reversal of 42719520 is 2591724.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28551 + ... + 30009.

It is an arithmetic number, because the mean of its divisors is an integer number (1425690).

Almost surely, 2^42719520 is an apocalyptic number.

42719520 is a gapful number since it is divisible by the number (40) 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 42719520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68433120).

42719520 is an abundant number, since it is smaller than the sum of its proper divisors (94146720).

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

42719520 is a wasteful number, since it uses less digits than its factorization.

42719520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 42719520 is about 6536.0171358405. The cubic root of 42719520 is about 349.5764127307.

The spelling of 42719520 in words is "forty-two million, seven hundred nineteen thousand, five hundred twenty".