83619972 has 48 divisors (see below), whose sum is σ = 217788480. Its totient is φ = 27745344.

The previous prime is 83619971. The next prime is 83620001. The reversal of 83619972 is 27991638.

It is not an unprimeable number, because it can be changed into a prime (83619971) 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, 23503 + ... + 26825.

It is an arithmetic number, because the mean of its divisors is an integer number (4537260).

Almost surely, 2^83619972 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 83619972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108894240).

83619972 is an abundant number, since it is smaller than the sum of its proper divisors (134168508).

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

83619972 is a wasteful number, since it uses less digits than its factorization.

83619972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3569 (or 3561 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 83619972 is about 9144.3956607312. The cubic root of 83619972 is about 437.2904631431.

The spelling of 83619972 in words is "eighty-three million, six hundred nineteen thousand, nine hundred seventy-two".