72975942 has 48 divisors (see below), whose sum is σ = 171317328. Its totient is φ = 22317120.

The previous prime is 72975923. The next prime is 72975961. The reversal of 72975942 is 24957927.

It is an interprime number because it is at equal distance from previous prime (72975923) and next prime (72975961).

It is a super-2 number, since 2×72975942² = 10650976221574728, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 41493 + ... + 43215.

It is an arithmetic number, because the mean of its divisors is an integer number (3569111).

Almost surely, 2^72975942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72975942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85658664).

72975942 is an abundant number, since it is smaller than the sum of its proper divisors (98341386).

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

72975942 is a wasteful number, since it uses less digits than its factorization.

72975942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1922 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 72975942 is about 8542.5957413423. The cubic root of 72975942 is about 417.8880029304. Note that the first 3 decimals are identical.

The spelling of 72975942 in words is "seventy-two million, nine hundred seventy-five thousand, nine hundred forty-two".