73953972 has 120 divisors (see below), whose sum is σ = 205990400. Its totient is φ = 23094720.

The previous prime is 73953949. The next prime is 73954019. The reversal of 73953972 is 27935937.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371529 + ... + 371727.

Almost surely, 2^73953972 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 73953972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102995200).

73953972 is an abundant number, since it is smaller than the sum of its proper divisors (132036428).

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

73953972 is a wasteful number, since it uses less digits than its factorization.

73953972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 272 counting only the distinct ones).

The product of its digits is 357210, while the sum is 45.

The square root of 73953972 is about 8599.6495277424. The cubic root of 73953972 is about 419.7465818180.

The spelling of 73953972 in words is "seventy-three million, nine hundred fifty-three thousand, nine hundred seventy-two".