35372052 has 72 divisors (see below), whose sum is σ = 93725632. Its totient is φ = 11664000.

The previous prime is 35372021. The next prime is 35372063. The reversal of 35372052 is 25027353.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146652 + ... + 146892.

Almost surely, 2^35372052 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 35372052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46862816).

35372052 is an abundant number, since it is smaller than the sum of its proper divisors (58353580).

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

35372052 is a wasteful number, since it uses less digits than its factorization.

35372052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 35372052 is about 5947.4407941568. The cubic root of 35372052 is about 328.2616022251.

The spelling of 35372052 in words is "thirty-five million, three hundred seventy-two thousand, fifty-two".