72415842 has 32 divisors (see below), whose sum is σ = 150292800. Its totient is φ = 23233728.

The previous prime is 72415841. The next prime is 72415843. The reversal of 72415842 is 24851427.

It is an interprime number because it is at equal distance from previous prime (72415841) and next prime (72415843).

It is not an unprimeable number, because it can be changed into a prime (72415841) 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, 101784 + ... + 102492.

It is an arithmetic number, because the mean of its divisors is an integer number (4696650).

Almost surely, 2^72415842 is an apocalyptic number.

72415842 is an abundant number, since it is smaller than the sum of its proper divisors (77876958).

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

72415842 is a wasteful number, since it uses less digits than its factorization.

72415842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330.

The product of its digits is 17920, while the sum is 33.

The square root of 72415842 is about 8509.7498200593. The cubic root of 72415842 is about 416.8161407893.

The spelling of 72415842 in words is "seventy-two million, four hundred fifteen thousand, eight hundred forty-two".