35721972 has 144 divisors (see below), whose sum is σ = 110440512. Its totient is φ = 9953280.

The previous prime is 35721971. The next prime is 35721989. The reversal of 35721972 is 27912753.

35721972 is a `hidden beast` number, since 3 + 572 + 19 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35721971) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138868 + ... + 139124.

It is an arithmetic number, because the mean of its divisors is an integer number (766948).

Almost surely, 2^35721972 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 35721972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55220256).

35721972 is an abundant number, since it is smaller than the sum of its proper divisors (74718540).

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

35721972 is a wasteful number, since it uses less digits than its factorization.

35721972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 286 counting only the distinct ones).

The product of its digits is 26460, while the sum is 36.

The square root of 35721972 is about 5976.7860928763. The cubic root of 35721972 is about 329.3405010633.

The spelling of 35721972 in words is "thirty-five million, seven hundred twenty-one thousand, nine hundred seventy-two".