35772960 has 48 divisors (see below), whose sum is σ = 112686336. Its totient is φ = 9539328.

The previous prime is 35772959. The next prime is 35772967. The reversal of 35772960 is 6927753.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (35772967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36784 + ... + 37743.

It is an arithmetic number, because the mean of its divisors is an integer number (2347632).

Almost surely, 2^35772960 is an apocalyptic number.

35772960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

35772960 is an abundant number, since it is smaller than the sum of its proper divisors (76913376).

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

35772960 is a wasteful number, since it uses less digits than its factorization.

35772960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74545 (or 74537 counting only the distinct ones).

The product of its (nonzero) digits is 79380, while the sum is 39.

The square root of 35772960 is about 5981.0500750286. The cubic root of 35772960 is about 329.4971220379.

The spelling of 35772960 in words is "thirty-five million, seven hundred seventy-two thousand, nine hundred sixty".