45762720 has 48 divisors (see below), whose sum is σ = 144154080. Its totient is φ = 12203264.

The previous prime is 45762719. The next prime is 45762721. The reversal of 45762720 is 2726754.

It is an interprime number because it is at equal distance from previous prime (45762719) and next prime (45762721).

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 (45762721) 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, 47190 + ... + 48149.

It is an arithmetic number, because the mean of its divisors is an integer number (3003210).

Almost surely, 2^45762720 is an apocalyptic number.

45762720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45762720 is an abundant number, since it is smaller than the sum of its proper divisors (98391360).

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

45762720 is a wasteful number, since it uses less digits than its factorization.

45762720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95357 (or 95349 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 45762720 is about 6764.8148533423. The cubic root of 45762720 is about 357.6876482401.

The spelling of 45762720 in words is "forty-five million, seven hundred sixty-two thousand, seven hundred twenty".